| # Copyright (c) 2004 Python Software Foundation. | 
 | # All rights reserved. | 
 |  | 
 | # Written by Eric Price <eprice at tjhsst.edu> | 
 | #    and Facundo Batista <facundo at taniquetil.com.ar> | 
 | #    and Raymond Hettinger <python at rcn.com> | 
 | #    and Aahz (aahz at pobox.com) | 
 | #    and Tim Peters | 
 |  | 
 | """ | 
 | These are the test cases for the Decimal module. | 
 |  | 
 | There are two groups of tests, Arithmetic and Behaviour. The former test | 
 | the Decimal arithmetic using the tests provided by Mike Cowlishaw. The latter | 
 | test the pythonic behaviour according to PEP 327. | 
 |  | 
 | Cowlishaw's tests can be downloaded from: | 
 |  | 
 |    http://speleotrove.com/decimal/dectest.zip | 
 |  | 
 | This test module can be called from command line with one parameter (Arithmetic | 
 | or Behaviour) to test each part, or without parameter to test both parts. If | 
 | you're working through IDLE, you can import this test module and call test_main() | 
 | with the corresponding argument. | 
 | """ | 
 |  | 
 | import math | 
 | import os, sys | 
 | import operator | 
 | import warnings | 
 | import pickle, copy | 
 | import unittest | 
 | import numbers | 
 | import locale | 
 | from test.support import (run_unittest, run_doctest, is_resource_enabled, | 
 |                           requires_IEEE_754, requires_docstrings) | 
 | from test.support import (check_warnings, import_fresh_module, TestFailed, | 
 |                           run_with_locale, cpython_only) | 
 | import random | 
 | import time | 
 | import warnings | 
 | import inspect | 
 | try: | 
 |     import threading | 
 | except ImportError: | 
 |     threading = None | 
 |  | 
 |  | 
 | C = import_fresh_module('decimal', fresh=['_decimal']) | 
 | P = import_fresh_module('decimal', blocked=['_decimal']) | 
 | orig_sys_decimal = sys.modules['decimal'] | 
 |  | 
 | # fractions module must import the correct decimal module. | 
 | cfractions = import_fresh_module('fractions', fresh=['fractions']) | 
 | sys.modules['decimal'] = P | 
 | pfractions = import_fresh_module('fractions', fresh=['fractions']) | 
 | sys.modules['decimal'] = C | 
 | fractions = {C:cfractions, P:pfractions} | 
 | sys.modules['decimal'] = orig_sys_decimal | 
 |  | 
 |  | 
 | # Useful Test Constant | 
 | Signals = { | 
 |   C: tuple(C.getcontext().flags.keys()) if C else None, | 
 |   P: tuple(P.getcontext().flags.keys()) | 
 | } | 
 | # Signals ordered with respect to precedence: when an operation | 
 | # produces multiple signals, signals occurring later in the list | 
 | # should be handled before those occurring earlier in the list. | 
 | OrderedSignals = { | 
 |   C: [C.Clamped, C.Rounded, C.Inexact, C.Subnormal, C.Underflow, | 
 |       C.Overflow, C.DivisionByZero, C.InvalidOperation, | 
 |       C.FloatOperation] if C else None, | 
 |   P: [P.Clamped, P.Rounded, P.Inexact, P.Subnormal, P.Underflow, | 
 |       P.Overflow, P.DivisionByZero, P.InvalidOperation, | 
 |       P.FloatOperation] | 
 | } | 
 | def assert_signals(cls, context, attr, expected): | 
 |     d = getattr(context, attr) | 
 |     cls.assertTrue(all(d[s] if s in expected else not d[s] for s in d)) | 
 |  | 
 | ROUND_UP = P.ROUND_UP | 
 | ROUND_DOWN = P.ROUND_DOWN | 
 | ROUND_CEILING = P.ROUND_CEILING | 
 | ROUND_FLOOR = P.ROUND_FLOOR | 
 | ROUND_HALF_UP = P.ROUND_HALF_UP | 
 | ROUND_HALF_DOWN = P.ROUND_HALF_DOWN | 
 | ROUND_HALF_EVEN = P.ROUND_HALF_EVEN | 
 | ROUND_05UP = P.ROUND_05UP | 
 |  | 
 | RoundingModes = [ | 
 |   ROUND_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR, | 
 |   ROUND_HALF_UP, ROUND_HALF_DOWN, ROUND_HALF_EVEN, | 
 |   ROUND_05UP | 
 | ] | 
 |  | 
 | # Tests are built around these assumed context defaults. | 
 | # test_main() restores the original context. | 
 | ORIGINAL_CONTEXT = { | 
 |   C: C.getcontext().copy() if C else None, | 
 |   P: P.getcontext().copy() | 
 | } | 
 | def init(m): | 
 |     if not m: return | 
 |     DefaultTestContext = m.Context( | 
 |        prec=9, rounding=ROUND_HALF_EVEN, traps=dict.fromkeys(Signals[m], 0) | 
 |     ) | 
 |     m.setcontext(DefaultTestContext) | 
 |  | 
 | TESTDATADIR = 'decimaltestdata' | 
 | if __name__ == '__main__': | 
 |     file = sys.argv[0] | 
 | else: | 
 |     file = __file__ | 
 | testdir = os.path.dirname(file) or os.curdir | 
 | directory = testdir + os.sep + TESTDATADIR + os.sep | 
 |  | 
 | skip_expected = not os.path.isdir(directory) | 
 |  | 
 | # Make sure it actually raises errors when not expected and caught in flags | 
 | # Slower, since it runs some things several times. | 
 | EXTENDEDERRORTEST = False | 
 |  | 
 | # Test extra functionality in the C version (-DEXTRA_FUNCTIONALITY). | 
 | EXTRA_FUNCTIONALITY = True if hasattr(C, 'DecClamped') else False | 
 | requires_extra_functionality = unittest.skipUnless( | 
 |   EXTRA_FUNCTIONALITY, "test requires build with -DEXTRA_FUNCTIONALITY") | 
 | skip_if_extra_functionality = unittest.skipIf( | 
 |   EXTRA_FUNCTIONALITY, "test requires regular build") | 
 |  | 
 |  | 
 | class IBMTestCases(unittest.TestCase): | 
 |     """Class which tests the Decimal class against the IBM test cases.""" | 
 |  | 
 |     def setUp(self): | 
 |         self.context = self.decimal.Context() | 
 |         self.readcontext = self.decimal.Context() | 
 |         self.ignore_list = ['#'] | 
 |  | 
 |         # List of individual .decTest test ids that correspond to tests that | 
 |         # we're skipping for one reason or another. | 
 |         self.skipped_test_ids = set([ | 
 |             # Skip implementation-specific scaleb tests. | 
 |             'scbx164', | 
 |             'scbx165', | 
 |  | 
 |             # For some operations (currently exp, ln, log10, power), the decNumber | 
 |             # reference implementation imposes additional restrictions on the context | 
 |             # and operands.  These restrictions are not part of the specification; | 
 |             # however, the effect of these restrictions does show up in some of the | 
 |             # testcases.  We skip testcases that violate these restrictions, since | 
 |             # Decimal behaves differently from decNumber for these testcases so these | 
 |             # testcases would otherwise fail. | 
 |             'expx901', | 
 |             'expx902', | 
 |             'expx903', | 
 |             'expx905', | 
 |             'lnx901', | 
 |             'lnx902', | 
 |             'lnx903', | 
 |             'lnx905', | 
 |             'logx901', | 
 |             'logx902', | 
 |             'logx903', | 
 |             'logx905', | 
 |             'powx1183', | 
 |             'powx1184', | 
 |             'powx4001', | 
 |             'powx4002', | 
 |             'powx4003', | 
 |             'powx4005', | 
 |             'powx4008', | 
 |             'powx4010', | 
 |             'powx4012', | 
 |             'powx4014', | 
 |             ]) | 
 |  | 
 |         if self.decimal == C: | 
 |             # status has additional Subnormal, Underflow | 
 |             self.skipped_test_ids.add('pwsx803') | 
 |             self.skipped_test_ids.add('pwsx805') | 
 |             # Correct rounding (skipped for decNumber, too) | 
 |             self.skipped_test_ids.add('powx4302') | 
 |             self.skipped_test_ids.add('powx4303') | 
 |             self.skipped_test_ids.add('powx4342') | 
 |             self.skipped_test_ids.add('powx4343') | 
 |             # http://bugs.python.org/issue7049 | 
 |             self.skipped_test_ids.add('pwmx325') | 
 |             self.skipped_test_ids.add('pwmx326') | 
 |  | 
 |         # Map test directives to setter functions. | 
 |         self.ChangeDict = {'precision' : self.change_precision, | 
 |                            'rounding' : self.change_rounding_method, | 
 |                            'maxexponent' : self.change_max_exponent, | 
 |                            'minexponent' : self.change_min_exponent, | 
 |                            'clamp' : self.change_clamp} | 
 |  | 
 |         # Name adapter to be able to change the Decimal and Context | 
 |         # interface without changing the test files from Cowlishaw. | 
 |         self.NameAdapter = {'and':'logical_and', | 
 |                             'apply':'_apply', | 
 |                             'class':'number_class', | 
 |                             'comparesig':'compare_signal', | 
 |                             'comparetotal':'compare_total', | 
 |                             'comparetotmag':'compare_total_mag', | 
 |                             'copy':'copy_decimal', | 
 |                             'copyabs':'copy_abs', | 
 |                             'copynegate':'copy_negate', | 
 |                             'copysign':'copy_sign', | 
 |                             'divideint':'divide_int', | 
 |                             'invert':'logical_invert', | 
 |                             'iscanonical':'is_canonical', | 
 |                             'isfinite':'is_finite', | 
 |                             'isinfinite':'is_infinite', | 
 |                             'isnan':'is_nan', | 
 |                             'isnormal':'is_normal', | 
 |                             'isqnan':'is_qnan', | 
 |                             'issigned':'is_signed', | 
 |                             'issnan':'is_snan', | 
 |                             'issubnormal':'is_subnormal', | 
 |                             'iszero':'is_zero', | 
 |                             'maxmag':'max_mag', | 
 |                             'minmag':'min_mag', | 
 |                             'nextminus':'next_minus', | 
 |                             'nextplus':'next_plus', | 
 |                             'nexttoward':'next_toward', | 
 |                             'or':'logical_or', | 
 |                             'reduce':'normalize', | 
 |                             'remaindernear':'remainder_near', | 
 |                             'samequantum':'same_quantum', | 
 |                             'squareroot':'sqrt', | 
 |                             'toeng':'to_eng_string', | 
 |                             'tointegral':'to_integral_value', | 
 |                             'tointegralx':'to_integral_exact', | 
 |                             'tosci':'to_sci_string', | 
 |                             'xor':'logical_xor'} | 
 |  | 
 |         # Map test-case names to roundings. | 
 |         self.RoundingDict = {'ceiling' : ROUND_CEILING, | 
 |                              'down' : ROUND_DOWN, | 
 |                              'floor' : ROUND_FLOOR, | 
 |                              'half_down' : ROUND_HALF_DOWN, | 
 |                              'half_even' : ROUND_HALF_EVEN, | 
 |                              'half_up' : ROUND_HALF_UP, | 
 |                              'up' : ROUND_UP, | 
 |                              '05up' : ROUND_05UP} | 
 |  | 
 |         # Map the test cases' error names to the actual errors. | 
 |         self.ErrorNames = {'clamped' : self.decimal.Clamped, | 
 |                            'conversion_syntax' : self.decimal.InvalidOperation, | 
 |                            'division_by_zero' : self.decimal.DivisionByZero, | 
 |                            'division_impossible' : self.decimal.InvalidOperation, | 
 |                            'division_undefined' : self.decimal.InvalidOperation, | 
 |                            'inexact' : self.decimal.Inexact, | 
 |                            'invalid_context' : self.decimal.InvalidOperation, | 
 |                            'invalid_operation' : self.decimal.InvalidOperation, | 
 |                            'overflow' : self.decimal.Overflow, | 
 |                            'rounded' : self.decimal.Rounded, | 
 |                            'subnormal' : self.decimal.Subnormal, | 
 |                            'underflow' : self.decimal.Underflow} | 
 |  | 
 |         # The following functions return True/False rather than a | 
 |         # Decimal instance. | 
 |         self.LogicalFunctions = ('is_canonical', | 
 |                                  'is_finite', | 
 |                                  'is_infinite', | 
 |                                  'is_nan', | 
 |                                  'is_normal', | 
 |                                  'is_qnan', | 
 |                                  'is_signed', | 
 |                                  'is_snan', | 
 |                                  'is_subnormal', | 
 |                                  'is_zero', | 
 |                                  'same_quantum') | 
 |  | 
 |     def read_unlimited(self, v, context): | 
 |         """Work around the limitations of the 32-bit _decimal version. The | 
 |            guaranteed maximum values for prec, Emax etc. are 425000000, | 
 |            but higher values usually work, except for rare corner cases. | 
 |            In particular, all of the IBM tests pass with maximum values | 
 |            of 1070000000.""" | 
 |         if self.decimal == C and self.decimal.MAX_EMAX == 425000000: | 
 |             self.readcontext._unsafe_setprec(1070000000) | 
 |             self.readcontext._unsafe_setemax(1070000000) | 
 |             self.readcontext._unsafe_setemin(-1070000000) | 
 |             return self.readcontext.create_decimal(v) | 
 |         else: | 
 |             return self.decimal.Decimal(v, context) | 
 |  | 
 |     def eval_file(self, file): | 
 |         global skip_expected | 
 |         if skip_expected: | 
 |             raise unittest.SkipTest | 
 |         with open(file) as f: | 
 |             for line in f: | 
 |                 line = line.replace('\r\n', '').replace('\n', '') | 
 |                 #print line | 
 |                 try: | 
 |                     t = self.eval_line(line) | 
 |                 except self.decimal.DecimalException as exception: | 
 |                     #Exception raised where there shouldn't have been one. | 
 |                     self.fail('Exception "'+exception.__class__.__name__ + '" raised on line '+line) | 
 |  | 
 |  | 
 |     def eval_line(self, s): | 
 |         if s.find(' -> ') >= 0 and s[:2] != '--' and not s.startswith('  --'): | 
 |             s = (s.split('->')[0] + '->' + | 
 |                  s.split('->')[1].split('--')[0]).strip() | 
 |         else: | 
 |             s = s.split('--')[0].strip() | 
 |  | 
 |         for ignore in self.ignore_list: | 
 |             if s.find(ignore) >= 0: | 
 |                 #print s.split()[0], 'NotImplemented--', ignore | 
 |                 return | 
 |         if not s: | 
 |             return | 
 |         elif ':' in s: | 
 |             return self.eval_directive(s) | 
 |         else: | 
 |             return self.eval_equation(s) | 
 |  | 
 |     def eval_directive(self, s): | 
 |         funct, value = (x.strip().lower() for x in s.split(':')) | 
 |         if funct == 'rounding': | 
 |             value = self.RoundingDict[value] | 
 |         else: | 
 |             try: | 
 |                 value = int(value) | 
 |             except ValueError: | 
 |                 pass | 
 |  | 
 |         funct = self.ChangeDict.get(funct, (lambda *args: None)) | 
 |         funct(value) | 
 |  | 
 |     def eval_equation(self, s): | 
 |  | 
 |         if not TEST_ALL and random.random() < 0.90: | 
 |             return | 
 |  | 
 |         self.context.clear_flags() | 
 |  | 
 |         try: | 
 |             Sides = s.split('->') | 
 |             L = Sides[0].strip().split() | 
 |             id = L[0] | 
 |             if DEBUG: | 
 |                 print("Test ", id, end=" ") | 
 |             funct = L[1].lower() | 
 |             valstemp = L[2:] | 
 |             L = Sides[1].strip().split() | 
 |             ans = L[0] | 
 |             exceptions = L[1:] | 
 |         except (TypeError, AttributeError, IndexError): | 
 |             raise self.decimal.InvalidOperation | 
 |         def FixQuotes(val): | 
 |             val = val.replace("''", 'SingleQuote').replace('""', 'DoubleQuote') | 
 |             val = val.replace("'", '').replace('"', '') | 
 |             val = val.replace('SingleQuote', "'").replace('DoubleQuote', '"') | 
 |             return val | 
 |  | 
 |         if id in self.skipped_test_ids: | 
 |             return | 
 |  | 
 |         fname = self.NameAdapter.get(funct, funct) | 
 |         if fname == 'rescale': | 
 |             return | 
 |         funct = getattr(self.context, fname) | 
 |         vals = [] | 
 |         conglomerate = '' | 
 |         quote = 0 | 
 |         theirexceptions = [self.ErrorNames[x.lower()] for x in exceptions] | 
 |  | 
 |         for exception in Signals[self.decimal]: | 
 |             self.context.traps[exception] = 1 #Catch these bugs... | 
 |         for exception in theirexceptions: | 
 |             self.context.traps[exception] = 0 | 
 |         for i, val in enumerate(valstemp): | 
 |             if val.count("'") % 2 == 1: | 
 |                 quote = 1 - quote | 
 |             if quote: | 
 |                 conglomerate = conglomerate + ' ' + val | 
 |                 continue | 
 |             else: | 
 |                 val = conglomerate + val | 
 |                 conglomerate = '' | 
 |             v = FixQuotes(val) | 
 |             if fname in ('to_sci_string', 'to_eng_string'): | 
 |                 if EXTENDEDERRORTEST: | 
 |                     for error in theirexceptions: | 
 |                         self.context.traps[error] = 1 | 
 |                         try: | 
 |                             funct(self.context.create_decimal(v)) | 
 |                         except error: | 
 |                             pass | 
 |                         except Signals[self.decimal] as e: | 
 |                             self.fail("Raised %s in %s when %s disabled" % \ | 
 |                                       (e, s, error)) | 
 |                         else: | 
 |                             self.fail("Did not raise %s in %s" % (error, s)) | 
 |                         self.context.traps[error] = 0 | 
 |                 v = self.context.create_decimal(v) | 
 |             else: | 
 |                 v = self.read_unlimited(v, self.context) | 
 |             vals.append(v) | 
 |  | 
 |         ans = FixQuotes(ans) | 
 |  | 
 |         if EXTENDEDERRORTEST and fname not in ('to_sci_string', 'to_eng_string'): | 
 |             for error in theirexceptions: | 
 |                 self.context.traps[error] = 1 | 
 |                 try: | 
 |                     funct(*vals) | 
 |                 except error: | 
 |                     pass | 
 |                 except Signals[self.decimal] as e: | 
 |                     self.fail("Raised %s in %s when %s disabled" % \ | 
 |                               (e, s, error)) | 
 |                 else: | 
 |                     self.fail("Did not raise %s in %s" % (error, s)) | 
 |                 self.context.traps[error] = 0 | 
 |  | 
 |             # as above, but add traps cumulatively, to check precedence | 
 |             ordered_errors = [e for e in OrderedSignals[self.decimal] if e in theirexceptions] | 
 |             for error in ordered_errors: | 
 |                 self.context.traps[error] = 1 | 
 |                 try: | 
 |                     funct(*vals) | 
 |                 except error: | 
 |                     pass | 
 |                 except Signals[self.decimal] as e: | 
 |                     self.fail("Raised %s in %s; expected %s" % | 
 |                               (type(e), s, error)) | 
 |                 else: | 
 |                     self.fail("Did not raise %s in %s" % (error, s)) | 
 |             # reset traps | 
 |             for error in ordered_errors: | 
 |                 self.context.traps[error] = 0 | 
 |  | 
 |  | 
 |         if DEBUG: | 
 |             print("--", self.context) | 
 |         try: | 
 |             result = str(funct(*vals)) | 
 |             if fname in self.LogicalFunctions: | 
 |                 result = str(int(eval(result))) # 'True', 'False' -> '1', '0' | 
 |         except Signals[self.decimal] as error: | 
 |             self.fail("Raised %s in %s" % (error, s)) | 
 |         except: #Catch any error long enough to state the test case. | 
 |             print("ERROR:", s) | 
 |             raise | 
 |  | 
 |         myexceptions = self.getexceptions() | 
 |  | 
 |         myexceptions.sort(key=repr) | 
 |         theirexceptions.sort(key=repr) | 
 |  | 
 |         self.assertEqual(result, ans, | 
 |                          'Incorrect answer for ' + s + ' -- got ' + result) | 
 |  | 
 |         self.assertEqual(myexceptions, theirexceptions, | 
 |               'Incorrect flags set in ' + s + ' -- got ' + str(myexceptions)) | 
 |  | 
 |     def getexceptions(self): | 
 |         return [e for e in Signals[self.decimal] if self.context.flags[e]] | 
 |  | 
 |     def change_precision(self, prec): | 
 |         if self.decimal == C and self.decimal.MAX_PREC == 425000000: | 
 |             self.context._unsafe_setprec(prec) | 
 |         else: | 
 |             self.context.prec = prec | 
 |     def change_rounding_method(self, rounding): | 
 |         self.context.rounding = rounding | 
 |     def change_min_exponent(self, exp): | 
 |         if self.decimal == C and self.decimal.MAX_PREC == 425000000: | 
 |             self.context._unsafe_setemin(exp) | 
 |         else: | 
 |             self.context.Emin = exp | 
 |     def change_max_exponent(self, exp): | 
 |         if self.decimal == C and self.decimal.MAX_PREC == 425000000: | 
 |             self.context._unsafe_setemax(exp) | 
 |         else: | 
 |             self.context.Emax = exp | 
 |     def change_clamp(self, clamp): | 
 |         self.context.clamp = clamp | 
 |  | 
 | class CIBMTestCases(IBMTestCases): | 
 |     decimal = C | 
 | class PyIBMTestCases(IBMTestCases): | 
 |     decimal = P | 
 |  | 
 | # The following classes test the behaviour of Decimal according to PEP 327 | 
 |  | 
 | class ExplicitConstructionTest(unittest.TestCase): | 
 |     '''Unit tests for Explicit Construction cases of Decimal.''' | 
 |  | 
 |     def test_explicit_empty(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         self.assertEqual(Decimal(), Decimal("0")) | 
 |  | 
 |     def test_explicit_from_None(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         self.assertRaises(TypeError, Decimal, None) | 
 |  | 
 |     def test_explicit_from_int(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #positive | 
 |         d = Decimal(45) | 
 |         self.assertEqual(str(d), '45') | 
 |  | 
 |         #very large positive | 
 |         d = Decimal(500000123) | 
 |         self.assertEqual(str(d), '500000123') | 
 |  | 
 |         #negative | 
 |         d = Decimal(-45) | 
 |         self.assertEqual(str(d), '-45') | 
 |  | 
 |         #zero | 
 |         d = Decimal(0) | 
 |         self.assertEqual(str(d), '0') | 
 |  | 
 |         # single word longs | 
 |         for n in range(0, 32): | 
 |             for sign in (-1, 1): | 
 |                 for x in range(-5, 5): | 
 |                     i = sign * (2**n + x) | 
 |                     d = Decimal(i) | 
 |                     self.assertEqual(str(d), str(i)) | 
 |  | 
 |     def test_explicit_from_string(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         #empty | 
 |         self.assertEqual(str(Decimal('')), 'NaN') | 
 |  | 
 |         #int | 
 |         self.assertEqual(str(Decimal('45')), '45') | 
 |  | 
 |         #float | 
 |         self.assertEqual(str(Decimal('45.34')), '45.34') | 
 |  | 
 |         #engineer notation | 
 |         self.assertEqual(str(Decimal('45e2')), '4.5E+3') | 
 |  | 
 |         #just not a number | 
 |         self.assertEqual(str(Decimal('ugly')), 'NaN') | 
 |  | 
 |         #leading and trailing whitespace permitted | 
 |         self.assertEqual(str(Decimal('1.3E4 \n')), '1.3E+4') | 
 |         self.assertEqual(str(Decimal('  -7.89')), '-7.89') | 
 |         self.assertEqual(str(Decimal("  3.45679  ")), '3.45679') | 
 |  | 
 |         # unicode whitespace | 
 |         for lead in ["", ' ', '\u00a0', '\u205f']: | 
 |             for trail in ["", ' ', '\u00a0', '\u205f']: | 
 |                 self.assertEqual(str(Decimal(lead + '9.311E+28' + trail)), | 
 |                                  '9.311E+28') | 
 |  | 
 |         with localcontext() as c: | 
 |             c.traps[InvalidOperation] = True | 
 |             # Invalid string | 
 |             self.assertRaises(InvalidOperation, Decimal, "xyz") | 
 |             # Two arguments max | 
 |             self.assertRaises(TypeError, Decimal, "1234", "x", "y") | 
 |  | 
 |             # space within the numeric part | 
 |             self.assertRaises(InvalidOperation, Decimal, "1\u00a02\u00a03") | 
 |             self.assertRaises(InvalidOperation, Decimal, "\u00a01\u00a02\u00a0") | 
 |  | 
 |             # unicode whitespace | 
 |             self.assertRaises(InvalidOperation, Decimal, "\u00a0") | 
 |             self.assertRaises(InvalidOperation, Decimal, "\u00a0\u00a0") | 
 |  | 
 |             # embedded NUL | 
 |             self.assertRaises(InvalidOperation, Decimal, "12\u00003") | 
 |  | 
 |     @cpython_only | 
 |     def test_from_legacy_strings(self): | 
 |         import _testcapi | 
 |         Decimal = self.decimal.Decimal | 
 |         context = self.decimal.Context() | 
 |  | 
 |         s = _testcapi.unicode_legacy_string('9.999999') | 
 |         self.assertEqual(str(Decimal(s)), '9.999999') | 
 |         self.assertEqual(str(context.create_decimal(s)), '9.999999') | 
 |  | 
 |     def test_explicit_from_tuples(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #zero | 
 |         d = Decimal( (0, (0,), 0) ) | 
 |         self.assertEqual(str(d), '0') | 
 |  | 
 |         #int | 
 |         d = Decimal( (1, (4, 5), 0) ) | 
 |         self.assertEqual(str(d), '-45') | 
 |  | 
 |         #float | 
 |         d = Decimal( (0, (4, 5, 3, 4), -2) ) | 
 |         self.assertEqual(str(d), '45.34') | 
 |  | 
 |         #weird | 
 |         d = Decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) ) | 
 |         self.assertEqual(str(d), '-4.34913534E-17') | 
 |  | 
 |         #inf | 
 |         d = Decimal( (0, (), "F") ) | 
 |         self.assertEqual(str(d), 'Infinity') | 
 |  | 
 |         #wrong number of items | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1)) ) | 
 |  | 
 |         #bad sign | 
 |         self.assertRaises(ValueError, Decimal, (8, (4, 3, 4, 9, 1), 2) ) | 
 |         self.assertRaises(ValueError, Decimal, (0., (4, 3, 4, 9, 1), 2) ) | 
 |         self.assertRaises(ValueError, Decimal, (Decimal(1), (4, 3, 4, 9, 1), 2)) | 
 |  | 
 |         #bad exp | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1), 'wrong!') ) | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1), 0.) ) | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1), '1') ) | 
 |  | 
 |         #bad coefficients | 
 |         self.assertRaises(ValueError, Decimal, (1, "xyz", 2) ) | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, None, 1), 2) ) | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, -3, 4, 9, 1), 2) ) | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 10, 4, 9, 1), 2) ) | 
 |         self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 'a', 1), 2) ) | 
 |  | 
 |     def test_explicit_from_list(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d = Decimal([0, [0], 0]) | 
 |         self.assertEqual(str(d), '0') | 
 |  | 
 |         d = Decimal([1, [4, 3, 4, 9, 1, 3, 5, 3, 4], -25]) | 
 |         self.assertEqual(str(d), '-4.34913534E-17') | 
 |  | 
 |         d = Decimal([1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25]) | 
 |         self.assertEqual(str(d), '-4.34913534E-17') | 
 |  | 
 |         d = Decimal((1, [4, 3, 4, 9, 1, 3, 5, 3, 4], -25)) | 
 |         self.assertEqual(str(d), '-4.34913534E-17') | 
 |  | 
 |     def test_explicit_from_bool(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         self.assertIs(bool(Decimal(0)), False) | 
 |         self.assertIs(bool(Decimal(1)), True) | 
 |         self.assertEqual(Decimal(False), Decimal(0)) | 
 |         self.assertEqual(Decimal(True), Decimal(1)) | 
 |  | 
 |     def test_explicit_from_Decimal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #positive | 
 |         d = Decimal(45) | 
 |         e = Decimal(d) | 
 |         self.assertEqual(str(e), '45') | 
 |  | 
 |         #very large positive | 
 |         d = Decimal(500000123) | 
 |         e = Decimal(d) | 
 |         self.assertEqual(str(e), '500000123') | 
 |  | 
 |         #negative | 
 |         d = Decimal(-45) | 
 |         e = Decimal(d) | 
 |         self.assertEqual(str(e), '-45') | 
 |  | 
 |         #zero | 
 |         d = Decimal(0) | 
 |         e = Decimal(d) | 
 |         self.assertEqual(str(e), '0') | 
 |  | 
 |     @requires_IEEE_754 | 
 |     def test_explicit_from_float(self): | 
 |  | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         r = Decimal(0.1) | 
 |         self.assertEqual(type(r), Decimal) | 
 |         self.assertEqual(str(r), | 
 |                 '0.1000000000000000055511151231257827021181583404541015625') | 
 |         self.assertTrue(Decimal(float('nan')).is_qnan()) | 
 |         self.assertTrue(Decimal(float('inf')).is_infinite()) | 
 |         self.assertTrue(Decimal(float('-inf')).is_infinite()) | 
 |         self.assertEqual(str(Decimal(float('nan'))), | 
 |                          str(Decimal('NaN'))) | 
 |         self.assertEqual(str(Decimal(float('inf'))), | 
 |                          str(Decimal('Infinity'))) | 
 |         self.assertEqual(str(Decimal(float('-inf'))), | 
 |                          str(Decimal('-Infinity'))) | 
 |         self.assertEqual(str(Decimal(float('-0.0'))), | 
 |                          str(Decimal('-0'))) | 
 |         for i in range(200): | 
 |             x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0) | 
 |             self.assertEqual(x, float(Decimal(x))) # roundtrip | 
 |  | 
 |     def test_explicit_context_create_decimal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         Rounded = self.decimal.Rounded | 
 |  | 
 |         nc = copy.copy(self.decimal.getcontext()) | 
 |         nc.prec = 3 | 
 |  | 
 |         # empty | 
 |         d = Decimal() | 
 |         self.assertEqual(str(d), '0') | 
 |         d = nc.create_decimal() | 
 |         self.assertEqual(str(d), '0') | 
 |  | 
 |         # from None | 
 |         self.assertRaises(TypeError, nc.create_decimal, None) | 
 |  | 
 |         # from int | 
 |         d = nc.create_decimal(456) | 
 |         self.assertIsInstance(d, Decimal) | 
 |         self.assertEqual(nc.create_decimal(45678), | 
 |                          nc.create_decimal('457E+2')) | 
 |  | 
 |         # from string | 
 |         d = Decimal('456789') | 
 |         self.assertEqual(str(d), '456789') | 
 |         d = nc.create_decimal('456789') | 
 |         self.assertEqual(str(d), '4.57E+5') | 
 |         # leading and trailing whitespace should result in a NaN; | 
 |         # spaces are already checked in Cowlishaw's test-suite, so | 
 |         # here we just check that a trailing newline results in a NaN | 
 |         self.assertEqual(str(nc.create_decimal('3.14\n')), 'NaN') | 
 |  | 
 |         # from tuples | 
 |         d = Decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) ) | 
 |         self.assertEqual(str(d), '-4.34913534E-17') | 
 |         d = nc.create_decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) ) | 
 |         self.assertEqual(str(d), '-4.35E-17') | 
 |  | 
 |         # from Decimal | 
 |         prevdec = Decimal(500000123) | 
 |         d = Decimal(prevdec) | 
 |         self.assertEqual(str(d), '500000123') | 
 |         d = nc.create_decimal(prevdec) | 
 |         self.assertEqual(str(d), '5.00E+8') | 
 |  | 
 |         # more integers | 
 |         nc.prec = 28 | 
 |         nc.traps[InvalidOperation] = True | 
 |  | 
 |         for v in [-2**63-1, -2**63, -2**31-1, -2**31, 0, | 
 |                    2**31-1, 2**31, 2**63-1, 2**63]: | 
 |             d = nc.create_decimal(v) | 
 |             self.assertTrue(isinstance(d, Decimal)) | 
 |             self.assertEqual(int(d), v) | 
 |  | 
 |         nc.prec = 3 | 
 |         nc.traps[Rounded] = True | 
 |         self.assertRaises(Rounded, nc.create_decimal, 1234) | 
 |  | 
 |         # from string | 
 |         nc.prec = 28 | 
 |         self.assertEqual(str(nc.create_decimal('0E-017')), '0E-17') | 
 |         self.assertEqual(str(nc.create_decimal('45')), '45') | 
 |         self.assertEqual(str(nc.create_decimal('-Inf')), '-Infinity') | 
 |         self.assertEqual(str(nc.create_decimal('NaN123')), 'NaN123') | 
 |  | 
 |         # invalid arguments | 
 |         self.assertRaises(InvalidOperation, nc.create_decimal, "xyz") | 
 |         self.assertRaises(ValueError, nc.create_decimal, (1, "xyz", -25)) | 
 |         self.assertRaises(TypeError, nc.create_decimal, "1234", "5678") | 
 |  | 
 |         # too many NaN payload digits | 
 |         nc.prec = 3 | 
 |         self.assertRaises(InvalidOperation, nc.create_decimal, 'NaN12345') | 
 |         self.assertRaises(InvalidOperation, nc.create_decimal, | 
 |                           Decimal('NaN12345')) | 
 |  | 
 |         nc.traps[InvalidOperation] = False | 
 |         self.assertEqual(str(nc.create_decimal('NaN12345')), 'NaN') | 
 |         self.assertTrue(nc.flags[InvalidOperation]) | 
 |  | 
 |         nc.flags[InvalidOperation] = False | 
 |         self.assertEqual(str(nc.create_decimal(Decimal('NaN12345'))), 'NaN') | 
 |         self.assertTrue(nc.flags[InvalidOperation]) | 
 |  | 
 |     def test_explicit_context_create_from_float(self): | 
 |  | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         nc = self.decimal.Context() | 
 |         r = nc.create_decimal(0.1) | 
 |         self.assertEqual(type(r), Decimal) | 
 |         self.assertEqual(str(r), '0.1000000000000000055511151231') | 
 |         self.assertTrue(nc.create_decimal(float('nan')).is_qnan()) | 
 |         self.assertTrue(nc.create_decimal(float('inf')).is_infinite()) | 
 |         self.assertTrue(nc.create_decimal(float('-inf')).is_infinite()) | 
 |         self.assertEqual(str(nc.create_decimal(float('nan'))), | 
 |                          str(nc.create_decimal('NaN'))) | 
 |         self.assertEqual(str(nc.create_decimal(float('inf'))), | 
 |                          str(nc.create_decimal('Infinity'))) | 
 |         self.assertEqual(str(nc.create_decimal(float('-inf'))), | 
 |                          str(nc.create_decimal('-Infinity'))) | 
 |         self.assertEqual(str(nc.create_decimal(float('-0.0'))), | 
 |                          str(nc.create_decimal('-0'))) | 
 |         nc.prec = 100 | 
 |         for i in range(200): | 
 |             x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0) | 
 |             self.assertEqual(x, float(nc.create_decimal(x))) # roundtrip | 
 |  | 
 |     def test_unicode_digits(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         test_values = { | 
 |             '\uff11': '1', | 
 |             '\u0660.\u0660\u0663\u0667\u0662e-\u0663' : '0.0000372', | 
 |             '-nan\u0c68\u0c6a\u0c66\u0c66' : '-NaN2400', | 
 |             } | 
 |         for input, expected in test_values.items(): | 
 |             self.assertEqual(str(Decimal(input)), expected) | 
 |  | 
 | class CExplicitConstructionTest(ExplicitConstructionTest): | 
 |     decimal = C | 
 | class PyExplicitConstructionTest(ExplicitConstructionTest): | 
 |     decimal = P | 
 |  | 
 | class ImplicitConstructionTest(unittest.TestCase): | 
 |     '''Unit tests for Implicit Construction cases of Decimal.''' | 
 |  | 
 |     def test_implicit_from_None(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         self.assertRaises(TypeError, eval, 'Decimal(5) + None', locals()) | 
 |  | 
 |     def test_implicit_from_int(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #normal | 
 |         self.assertEqual(str(Decimal(5) + 45), '50') | 
 |         #exceeding precision | 
 |         self.assertEqual(Decimal(5) + 123456789000, Decimal(123456789000)) | 
 |  | 
 |     def test_implicit_from_string(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         self.assertRaises(TypeError, eval, 'Decimal(5) + "3"', locals()) | 
 |  | 
 |     def test_implicit_from_float(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         self.assertRaises(TypeError, eval, 'Decimal(5) + 2.2', locals()) | 
 |  | 
 |     def test_implicit_from_Decimal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         self.assertEqual(Decimal(5) + Decimal(45), Decimal(50)) | 
 |  | 
 |     def test_rop(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         # Allow other classes to be trained to interact with Decimals | 
 |         class E: | 
 |             def __divmod__(self, other): | 
 |                 return 'divmod ' + str(other) | 
 |             def __rdivmod__(self, other): | 
 |                 return str(other) + ' rdivmod' | 
 |             def __lt__(self, other): | 
 |                 return 'lt ' + str(other) | 
 |             def __gt__(self, other): | 
 |                 return 'gt ' + str(other) | 
 |             def __le__(self, other): | 
 |                 return 'le ' + str(other) | 
 |             def __ge__(self, other): | 
 |                 return 'ge ' + str(other) | 
 |             def __eq__(self, other): | 
 |                 return 'eq ' + str(other) | 
 |             def __ne__(self, other): | 
 |                 return 'ne ' + str(other) | 
 |  | 
 |         self.assertEqual(divmod(E(), Decimal(10)), 'divmod 10') | 
 |         self.assertEqual(divmod(Decimal(10), E()), '10 rdivmod') | 
 |         self.assertEqual(eval('Decimal(10) < E()'), 'gt 10') | 
 |         self.assertEqual(eval('Decimal(10) > E()'), 'lt 10') | 
 |         self.assertEqual(eval('Decimal(10) <= E()'), 'ge 10') | 
 |         self.assertEqual(eval('Decimal(10) >= E()'), 'le 10') | 
 |         self.assertEqual(eval('Decimal(10) == E()'), 'eq 10') | 
 |         self.assertEqual(eval('Decimal(10) != E()'), 'ne 10') | 
 |  | 
 |         # insert operator methods and then exercise them | 
 |         oplist = [ | 
 |             ('+', '__add__', '__radd__'), | 
 |             ('-', '__sub__', '__rsub__'), | 
 |             ('*', '__mul__', '__rmul__'), | 
 |             ('/', '__truediv__', '__rtruediv__'), | 
 |             ('%', '__mod__', '__rmod__'), | 
 |             ('//', '__floordiv__', '__rfloordiv__'), | 
 |             ('**', '__pow__', '__rpow__') | 
 |         ] | 
 |  | 
 |         for sym, lop, rop in oplist: | 
 |             setattr(E, lop, lambda self, other: 'str' + lop + str(other)) | 
 |             setattr(E, rop, lambda self, other: str(other) + rop + 'str') | 
 |             self.assertEqual(eval('E()' + sym + 'Decimal(10)'), | 
 |                              'str' + lop + '10') | 
 |             self.assertEqual(eval('Decimal(10)' + sym + 'E()'), | 
 |                              '10' + rop + 'str') | 
 |  | 
 | class CImplicitConstructionTest(ImplicitConstructionTest): | 
 |     decimal = C | 
 | class PyImplicitConstructionTest(ImplicitConstructionTest): | 
 |     decimal = P | 
 |  | 
 | class FormatTest(unittest.TestCase): | 
 |     '''Unit tests for the format function.''' | 
 |     def test_formatting(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         # triples giving a format, a Decimal, and the expected result | 
 |         test_values = [ | 
 |             ('e', '0E-15', '0e-15'), | 
 |             ('e', '2.3E-15', '2.3e-15'), | 
 |             ('e', '2.30E+2', '2.30e+2'), # preserve significant zeros | 
 |             ('e', '2.30000E-15', '2.30000e-15'), | 
 |             ('e', '1.23456789123456789e40', '1.23456789123456789e+40'), | 
 |             ('e', '1.5', '1.5e+0'), | 
 |             ('e', '0.15', '1.5e-1'), | 
 |             ('e', '0.015', '1.5e-2'), | 
 |             ('e', '0.0000000000015', '1.5e-12'), | 
 |             ('e', '15.0', '1.50e+1'), | 
 |             ('e', '-15', '-1.5e+1'), | 
 |             ('e', '0', '0e+0'), | 
 |             ('e', '0E1', '0e+1'), | 
 |             ('e', '0.0', '0e-1'), | 
 |             ('e', '0.00', '0e-2'), | 
 |             ('.6e', '0E-15', '0.000000e-9'), | 
 |             ('.6e', '0', '0.000000e+6'), | 
 |             ('.6e', '9.999999', '9.999999e+0'), | 
 |             ('.6e', '9.9999999', '1.000000e+1'), | 
 |             ('.6e', '-1.23e5', '-1.230000e+5'), | 
 |             ('.6e', '1.23456789e-3', '1.234568e-3'), | 
 |             ('f', '0', '0'), | 
 |             ('f', '0.0', '0.0'), | 
 |             ('f', '0E-2', '0.00'), | 
 |             ('f', '0.00E-8', '0.0000000000'), | 
 |             ('f', '0E1', '0'), # loses exponent information | 
 |             ('f', '3.2E1', '32'), | 
 |             ('f', '3.2E2', '320'), | 
 |             ('f', '3.20E2', '320'), | 
 |             ('f', '3.200E2', '320.0'), | 
 |             ('f', '3.2E-6', '0.0000032'), | 
 |             ('.6f', '0E-15', '0.000000'), # all zeros treated equally | 
 |             ('.6f', '0E1', '0.000000'), | 
 |             ('.6f', '0', '0.000000'), | 
 |             ('.0f', '0', '0'), # no decimal point | 
 |             ('.0f', '0e-2', '0'), | 
 |             ('.0f', '3.14159265', '3'), | 
 |             ('.1f', '3.14159265', '3.1'), | 
 |             ('.4f', '3.14159265', '3.1416'), | 
 |             ('.6f', '3.14159265', '3.141593'), | 
 |             ('.7f', '3.14159265', '3.1415926'), # round-half-even! | 
 |             ('.8f', '3.14159265', '3.14159265'), | 
 |             ('.9f', '3.14159265', '3.141592650'), | 
 |  | 
 |             ('g', '0', '0'), | 
 |             ('g', '0.0', '0.0'), | 
 |             ('g', '0E1', '0e+1'), | 
 |             ('G', '0E1', '0E+1'), | 
 |             ('g', '0E-5', '0.00000'), | 
 |             ('g', '0E-6', '0.000000'), | 
 |             ('g', '0E-7', '0e-7'), | 
 |             ('g', '-0E2', '-0e+2'), | 
 |             ('.0g', '3.14159265', '3'),  # 0 sig fig -> 1 sig fig | 
 |             ('.0n', '3.14159265', '3'),  # same for 'n' | 
 |             ('.1g', '3.14159265', '3'), | 
 |             ('.2g', '3.14159265', '3.1'), | 
 |             ('.5g', '3.14159265', '3.1416'), | 
 |             ('.7g', '3.14159265', '3.141593'), | 
 |             ('.8g', '3.14159265', '3.1415926'), # round-half-even! | 
 |             ('.9g', '3.14159265', '3.14159265'), | 
 |             ('.10g', '3.14159265', '3.14159265'), # don't pad | 
 |  | 
 |             ('%', '0E1', '0%'), | 
 |             ('%', '0E0', '0%'), | 
 |             ('%', '0E-1', '0%'), | 
 |             ('%', '0E-2', '0%'), | 
 |             ('%', '0E-3', '0.0%'), | 
 |             ('%', '0E-4', '0.00%'), | 
 |  | 
 |             ('.3%', '0', '0.000%'), # all zeros treated equally | 
 |             ('.3%', '0E10', '0.000%'), | 
 |             ('.3%', '0E-10', '0.000%'), | 
 |             ('.3%', '2.34', '234.000%'), | 
 |             ('.3%', '1.234567', '123.457%'), | 
 |             ('.0%', '1.23', '123%'), | 
 |  | 
 |             ('e', 'NaN', 'NaN'), | 
 |             ('f', '-NaN123', '-NaN123'), | 
 |             ('+g', 'NaN456', '+NaN456'), | 
 |             ('.3e', 'Inf', 'Infinity'), | 
 |             ('.16f', '-Inf', '-Infinity'), | 
 |             ('.0g', '-sNaN', '-sNaN'), | 
 |  | 
 |             ('', '1.00', '1.00'), | 
 |  | 
 |             # test alignment and padding | 
 |             ('6', '123', '   123'), | 
 |             ('<6', '123', '123   '), | 
 |             ('>6', '123', '   123'), | 
 |             ('^6', '123', ' 123  '), | 
 |             ('=+6', '123', '+  123'), | 
 |             ('#<10', 'NaN', 'NaN#######'), | 
 |             ('#<10', '-4.3', '-4.3######'), | 
 |             ('#<+10', '0.0130', '+0.0130###'), | 
 |             ('#< 10', '0.0130', ' 0.0130###'), | 
 |             ('@>10', '-Inf', '@-Infinity'), | 
 |             ('#>5', '-Inf', '-Infinity'), | 
 |             ('?^5', '123', '?123?'), | 
 |             ('%^6', '123', '%123%%'), | 
 |             (' ^6', '-45.6', '-45.6 '), | 
 |             ('/=10', '-45.6', '-/////45.6'), | 
 |             ('/=+10', '45.6', '+/////45.6'), | 
 |             ('/= 10', '45.6', ' /////45.6'), | 
 |             ('\x00=10', '-inf', '-\x00Infinity'), | 
 |             ('\x00^16', '-inf', '\x00\x00\x00-Infinity\x00\x00\x00\x00'), | 
 |             ('\x00>10', '1.2345', '\x00\x00\x00\x001.2345'), | 
 |             ('\x00<10', '1.2345', '1.2345\x00\x00\x00\x00'), | 
 |  | 
 |             # thousands separator | 
 |             (',', '1234567', '1,234,567'), | 
 |             (',', '123456', '123,456'), | 
 |             (',', '12345', '12,345'), | 
 |             (',', '1234', '1,234'), | 
 |             (',', '123', '123'), | 
 |             (',', '12', '12'), | 
 |             (',', '1', '1'), | 
 |             (',', '0', '0'), | 
 |             (',', '-1234567', '-1,234,567'), | 
 |             (',', '-123456', '-123,456'), | 
 |             ('7,', '123456', '123,456'), | 
 |             ('8,', '123456', ' 123,456'), | 
 |             ('08,', '123456', '0,123,456'), # special case: extra 0 needed | 
 |             ('+08,', '123456', '+123,456'), # but not if there's a sign | 
 |             (' 08,', '123456', ' 123,456'), | 
 |             ('08,', '-123456', '-123,456'), | 
 |             ('+09,', '123456', '+0,123,456'), | 
 |             # ... with fractional part... | 
 |             ('07,', '1234.56', '1,234.56'), | 
 |             ('08,', '1234.56', '1,234.56'), | 
 |             ('09,', '1234.56', '01,234.56'), | 
 |             ('010,', '1234.56', '001,234.56'), | 
 |             ('011,', '1234.56', '0,001,234.56'), | 
 |             ('012,', '1234.56', '0,001,234.56'), | 
 |             ('08,.1f', '1234.5', '01,234.5'), | 
 |             # no thousands separators in fraction part | 
 |             (',', '1.23456789', '1.23456789'), | 
 |             (',%', '123.456789', '12,345.6789%'), | 
 |             (',e', '123456', '1.23456e+5'), | 
 |             (',E', '123456', '1.23456E+5'), | 
 |  | 
 |             # issue 6850 | 
 |             ('a=-7.0', '0.12345', 'aaaa0.1'), | 
 |  | 
 |             # issue 22090 | 
 |             ('<^+15.20%', 'inf', '<<+Infinity%<<<'), | 
 |             ('\x07>,%', 'sNaN1234567', 'sNaN1234567%'), | 
 |             ('=10.10%', 'NaN123', '   NaN123%'), | 
 |             ] | 
 |         for fmt, d, result in test_values: | 
 |             self.assertEqual(format(Decimal(d), fmt), result) | 
 |  | 
 |         # bytes format argument | 
 |         self.assertRaises(TypeError, Decimal(1).__format__, b'-020') | 
 |  | 
 |     def test_n_format(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         try: | 
 |             from locale import CHAR_MAX | 
 |         except ImportError: | 
 |             self.skipTest('locale.CHAR_MAX not available') | 
 |  | 
 |         def make_grouping(lst): | 
 |             return ''.join([chr(x) for x in lst]) if self.decimal == C else lst | 
 |  | 
 |         def get_fmt(x, override=None, fmt='n'): | 
 |             if self.decimal == C: | 
 |                 return Decimal(x).__format__(fmt, override) | 
 |             else: | 
 |                 return Decimal(x).__format__(fmt, _localeconv=override) | 
 |  | 
 |         # Set up some localeconv-like dictionaries | 
 |         en_US = { | 
 |             'decimal_point' : '.', | 
 |             'grouping' : make_grouping([3, 3, 0]), | 
 |             'thousands_sep' : ',' | 
 |             } | 
 |  | 
 |         fr_FR = { | 
 |             'decimal_point' : ',', | 
 |             'grouping' : make_grouping([CHAR_MAX]), | 
 |             'thousands_sep' : '' | 
 |             } | 
 |  | 
 |         ru_RU = { | 
 |             'decimal_point' : ',', | 
 |             'grouping': make_grouping([3, 3, 0]), | 
 |             'thousands_sep' : ' ' | 
 |             } | 
 |  | 
 |         crazy = { | 
 |             'decimal_point' : '&', | 
 |             'grouping': make_grouping([1, 4, 2, CHAR_MAX]), | 
 |             'thousands_sep' : '-' | 
 |             } | 
 |  | 
 |         dotsep_wide = { | 
 |             'decimal_point' : b'\xc2\xbf'.decode('utf-8'), | 
 |             'grouping': make_grouping([3, 3, 0]), | 
 |             'thousands_sep' : b'\xc2\xb4'.decode('utf-8') | 
 |             } | 
 |  | 
 |         self.assertEqual(get_fmt(Decimal('12.7'), en_US), '12.7') | 
 |         self.assertEqual(get_fmt(Decimal('12.7'), fr_FR), '12,7') | 
 |         self.assertEqual(get_fmt(Decimal('12.7'), ru_RU), '12,7') | 
 |         self.assertEqual(get_fmt(Decimal('12.7'), crazy), '1-2&7') | 
 |  | 
 |         self.assertEqual(get_fmt(123456789, en_US), '123,456,789') | 
 |         self.assertEqual(get_fmt(123456789, fr_FR), '123456789') | 
 |         self.assertEqual(get_fmt(123456789, ru_RU), '123 456 789') | 
 |         self.assertEqual(get_fmt(1234567890123, crazy), '123456-78-9012-3') | 
 |  | 
 |         self.assertEqual(get_fmt(123456789, en_US, '.6n'), '1.23457e+8') | 
 |         self.assertEqual(get_fmt(123456789, fr_FR, '.6n'), '1,23457e+8') | 
 |         self.assertEqual(get_fmt(123456789, ru_RU, '.6n'), '1,23457e+8') | 
 |         self.assertEqual(get_fmt(123456789, crazy, '.6n'), '1&23457e+8') | 
 |  | 
 |         # zero padding | 
 |         self.assertEqual(get_fmt(1234, fr_FR, '03n'), '1234') | 
 |         self.assertEqual(get_fmt(1234, fr_FR, '04n'), '1234') | 
 |         self.assertEqual(get_fmt(1234, fr_FR, '05n'), '01234') | 
 |         self.assertEqual(get_fmt(1234, fr_FR, '06n'), '001234') | 
 |  | 
 |         self.assertEqual(get_fmt(12345, en_US, '05n'), '12,345') | 
 |         self.assertEqual(get_fmt(12345, en_US, '06n'), '12,345') | 
 |         self.assertEqual(get_fmt(12345, en_US, '07n'), '012,345') | 
 |         self.assertEqual(get_fmt(12345, en_US, '08n'), '0,012,345') | 
 |         self.assertEqual(get_fmt(12345, en_US, '09n'), '0,012,345') | 
 |         self.assertEqual(get_fmt(12345, en_US, '010n'), '00,012,345') | 
 |  | 
 |         self.assertEqual(get_fmt(123456, crazy, '06n'), '1-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '07n'), '1-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '08n'), '1-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '09n'), '01-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '010n'), '0-01-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '011n'), '0-01-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '012n'), '00-01-2345-6') | 
 |         self.assertEqual(get_fmt(123456, crazy, '013n'), '000-01-2345-6') | 
 |  | 
 |         # wide char separator and decimal point | 
 |         self.assertEqual(get_fmt(Decimal('-1.5'), dotsep_wide, '020n'), | 
 |                          '-0\u00b4000\u00b4000\u00b4000\u00b4001\u00bf5') | 
 |  | 
 |     @run_with_locale('LC_ALL', 'ps_AF') | 
 |     def test_wide_char_separator_decimal_point(self): | 
 |         # locale with wide char separator and decimal point | 
 |         import locale | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         decimal_point = locale.localeconv()['decimal_point'] | 
 |         thousands_sep = locale.localeconv()['thousands_sep'] | 
 |         if decimal_point != '\u066b': | 
 |             self.skipTest('inappropriate decimal point separator' | 
 |                           '({!a} not {!a})'.format(decimal_point, '\u066b')) | 
 |         if thousands_sep != '\u066c': | 
 |             self.skipTest('inappropriate thousands separator' | 
 |                           '({!a} not {!a})'.format(thousands_sep, '\u066c')) | 
 |  | 
 |         self.assertEqual(format(Decimal('100000000.123'), 'n'), | 
 |                          '100\u066c000\u066c000\u066b123') | 
 |  | 
 | class CFormatTest(FormatTest): | 
 |     decimal = C | 
 | class PyFormatTest(FormatTest): | 
 |     decimal = P | 
 |  | 
 | class ArithmeticOperatorsTest(unittest.TestCase): | 
 |     '''Unit tests for all arithmetic operators, binary and unary.''' | 
 |  | 
 |     def test_addition(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('-11.1') | 
 |         d2 = Decimal('22.2') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1+d2, Decimal('11.1')) | 
 |         self.assertEqual(d2+d1, Decimal('11.1')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 + 5 | 
 |         self.assertEqual(c, Decimal('-6.1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 5 + d1 | 
 |         self.assertEqual(c, Decimal('-6.1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 += d2 | 
 |         self.assertEqual(d1, Decimal('11.1')) | 
 |  | 
 |         #inline with other type | 
 |         d1 += 5 | 
 |         self.assertEqual(d1, Decimal('16.1')) | 
 |  | 
 |     def test_subtraction(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('-11.1') | 
 |         d2 = Decimal('22.2') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1-d2, Decimal('-33.3')) | 
 |         self.assertEqual(d2-d1, Decimal('33.3')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 - 5 | 
 |         self.assertEqual(c, Decimal('-16.1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 5 - d1 | 
 |         self.assertEqual(c, Decimal('16.1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 -= d2 | 
 |         self.assertEqual(d1, Decimal('-33.3')) | 
 |  | 
 |         #inline with other type | 
 |         d1 -= 5 | 
 |         self.assertEqual(d1, Decimal('-38.3')) | 
 |  | 
 |     def test_multiplication(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('-5') | 
 |         d2 = Decimal('3') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1*d2, Decimal('-15')) | 
 |         self.assertEqual(d2*d1, Decimal('-15')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 * 5 | 
 |         self.assertEqual(c, Decimal('-25')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 5 * d1 | 
 |         self.assertEqual(c, Decimal('-25')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 *= d2 | 
 |         self.assertEqual(d1, Decimal('-15')) | 
 |  | 
 |         #inline with other type | 
 |         d1 *= 5 | 
 |         self.assertEqual(d1, Decimal('-75')) | 
 |  | 
 |     def test_division(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('-5') | 
 |         d2 = Decimal('2') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1/d2, Decimal('-2.5')) | 
 |         self.assertEqual(d2/d1, Decimal('-0.4')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 / 4 | 
 |         self.assertEqual(c, Decimal('-1.25')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 4 / d1 | 
 |         self.assertEqual(c, Decimal('-0.8')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 /= d2 | 
 |         self.assertEqual(d1, Decimal('-2.5')) | 
 |  | 
 |         #inline with other type | 
 |         d1 /= 4 | 
 |         self.assertEqual(d1, Decimal('-0.625')) | 
 |  | 
 |     def test_floor_division(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('5') | 
 |         d2 = Decimal('2') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1//d2, Decimal('2')) | 
 |         self.assertEqual(d2//d1, Decimal('0')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 // 4 | 
 |         self.assertEqual(c, Decimal('1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 7 // d1 | 
 |         self.assertEqual(c, Decimal('1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 //= d2 | 
 |         self.assertEqual(d1, Decimal('2')) | 
 |  | 
 |         #inline with other type | 
 |         d1 //= 2 | 
 |         self.assertEqual(d1, Decimal('1')) | 
 |  | 
 |     def test_powering(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('5') | 
 |         d2 = Decimal('2') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1**d2, Decimal('25')) | 
 |         self.assertEqual(d2**d1, Decimal('32')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 ** 4 | 
 |         self.assertEqual(c, Decimal('625')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 7 ** d1 | 
 |         self.assertEqual(c, Decimal('16807')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 **= d2 | 
 |         self.assertEqual(d1, Decimal('25')) | 
 |  | 
 |         #inline with other type | 
 |         d1 **= 4 | 
 |         self.assertEqual(d1, Decimal('390625')) | 
 |  | 
 |     def test_module(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('5') | 
 |         d2 = Decimal('2') | 
 |  | 
 |         #two Decimals | 
 |         self.assertEqual(d1%d2, Decimal('1')) | 
 |         self.assertEqual(d2%d1, Decimal('2')) | 
 |  | 
 |         #with other type, left | 
 |         c = d1 % 4 | 
 |         self.assertEqual(c, Decimal('1')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         c = 7 % d1 | 
 |         self.assertEqual(c, Decimal('2')) | 
 |         self.assertEqual(type(c), type(d1)) | 
 |  | 
 |         #inline with decimal | 
 |         d1 %= d2 | 
 |         self.assertEqual(d1, Decimal('1')) | 
 |  | 
 |         #inline with other type | 
 |         d1 %= 4 | 
 |         self.assertEqual(d1, Decimal('1')) | 
 |  | 
 |     def test_floor_div_module(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('5') | 
 |         d2 = Decimal('2') | 
 |  | 
 |         #two Decimals | 
 |         (p, q) = divmod(d1, d2) | 
 |         self.assertEqual(p, Decimal('2')) | 
 |         self.assertEqual(q, Decimal('1')) | 
 |         self.assertEqual(type(p), type(d1)) | 
 |         self.assertEqual(type(q), type(d1)) | 
 |  | 
 |         #with other type, left | 
 |         (p, q) = divmod(d1, 4) | 
 |         self.assertEqual(p, Decimal('1')) | 
 |         self.assertEqual(q, Decimal('1')) | 
 |         self.assertEqual(type(p), type(d1)) | 
 |         self.assertEqual(type(q), type(d1)) | 
 |  | 
 |         #with other type, right | 
 |         (p, q) = divmod(7, d1) | 
 |         self.assertEqual(p, Decimal('1')) | 
 |         self.assertEqual(q, Decimal('2')) | 
 |         self.assertEqual(type(p), type(d1)) | 
 |         self.assertEqual(type(q), type(d1)) | 
 |  | 
 |     def test_unary_operators(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         self.assertEqual(+Decimal(45), Decimal(+45))           #  + | 
 |         self.assertEqual(-Decimal(45), Decimal(-45))           #  - | 
 |         self.assertEqual(abs(Decimal(45)), abs(Decimal(-45)))  # abs | 
 |  | 
 |     def test_nan_comparisons(self): | 
 |         # comparisons involving signaling nans signal InvalidOperation | 
 |  | 
 |         # order comparisons (<, <=, >, >=) involving only quiet nans | 
 |         # also signal InvalidOperation | 
 |  | 
 |         # equality comparisons (==, !=) involving only quiet nans | 
 |         # don't signal, but return False or True respectively. | 
 |         Decimal = self.decimal.Decimal | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         n = Decimal('NaN') | 
 |         s = Decimal('sNaN') | 
 |         i = Decimal('Inf') | 
 |         f = Decimal('2') | 
 |  | 
 |         qnan_pairs = (n, n), (n, i), (i, n), (n, f), (f, n) | 
 |         snan_pairs = (s, n), (n, s), (s, i), (i, s), (s, f), (f, s), (s, s) | 
 |         order_ops = operator.lt, operator.le, operator.gt, operator.ge | 
 |         equality_ops = operator.eq, operator.ne | 
 |  | 
 |         # results when InvalidOperation is not trapped | 
 |         for x, y in qnan_pairs + snan_pairs: | 
 |             for op in order_ops + equality_ops: | 
 |                 got = op(x, y) | 
 |                 expected = True if op is operator.ne else False | 
 |                 self.assertIs(expected, got, | 
 |                               "expected {0!r} for operator.{1}({2!r}, {3!r}); " | 
 |                               "got {4!r}".format( | 
 |                         expected, op.__name__, x, y, got)) | 
 |  | 
 |         # repeat the above, but this time trap the InvalidOperation | 
 |         with localcontext() as ctx: | 
 |             ctx.traps[InvalidOperation] = 1 | 
 |  | 
 |             for x, y in qnan_pairs: | 
 |                 for op in equality_ops: | 
 |                     got = op(x, y) | 
 |                     expected = True if op is operator.ne else False | 
 |                     self.assertIs(expected, got, | 
 |                                   "expected {0!r} for " | 
 |                                   "operator.{1}({2!r}, {3!r}); " | 
 |                                   "got {4!r}".format( | 
 |                             expected, op.__name__, x, y, got)) | 
 |  | 
 |             for x, y in snan_pairs: | 
 |                 for op in equality_ops: | 
 |                     self.assertRaises(InvalidOperation, operator.eq, x, y) | 
 |                     self.assertRaises(InvalidOperation, operator.ne, x, y) | 
 |  | 
 |             for x, y in qnan_pairs + snan_pairs: | 
 |                 for op in order_ops: | 
 |                     self.assertRaises(InvalidOperation, op, x, y) | 
 |  | 
 |     def test_copy_sign(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d = Decimal(1).copy_sign(Decimal(-2)) | 
 |         self.assertEqual(Decimal(1).copy_sign(-2), d) | 
 |         self.assertRaises(TypeError, Decimal(1).copy_sign, '-2') | 
 |  | 
 | class CArithmeticOperatorsTest(ArithmeticOperatorsTest): | 
 |     decimal = C | 
 | class PyArithmeticOperatorsTest(ArithmeticOperatorsTest): | 
 |     decimal = P | 
 |  | 
 | # The following are two functions used to test threading in the next class | 
 |  | 
 | def thfunc1(cls): | 
 |     Decimal = cls.decimal.Decimal | 
 |     InvalidOperation = cls.decimal.InvalidOperation | 
 |     DivisionByZero = cls.decimal.DivisionByZero | 
 |     Overflow = cls.decimal.Overflow | 
 |     Underflow = cls.decimal.Underflow | 
 |     Inexact = cls.decimal.Inexact | 
 |     getcontext = cls.decimal.getcontext | 
 |     localcontext = cls.decimal.localcontext | 
 |  | 
 |     d1 = Decimal(1) | 
 |     d3 = Decimal(3) | 
 |     test1 = d1/d3 | 
 |  | 
 |     cls.finish1.set() | 
 |     cls.synchro.wait() | 
 |  | 
 |     test2 = d1/d3 | 
 |     with localcontext() as c2: | 
 |         cls.assertTrue(c2.flags[Inexact]) | 
 |         cls.assertRaises(DivisionByZero, c2.divide, d1, 0) | 
 |         cls.assertTrue(c2.flags[DivisionByZero]) | 
 |         with localcontext() as c3: | 
 |             cls.assertTrue(c3.flags[Inexact]) | 
 |             cls.assertTrue(c3.flags[DivisionByZero]) | 
 |             cls.assertRaises(InvalidOperation, c3.compare, d1, Decimal('sNaN')) | 
 |             cls.assertTrue(c3.flags[InvalidOperation]) | 
 |             del c3 | 
 |         cls.assertFalse(c2.flags[InvalidOperation]) | 
 |         del c2 | 
 |  | 
 |     cls.assertEqual(test1, Decimal('0.333333333333333333333333')) | 
 |     cls.assertEqual(test2, Decimal('0.333333333333333333333333')) | 
 |  | 
 |     c1 = getcontext() | 
 |     cls.assertTrue(c1.flags[Inexact]) | 
 |     for sig in Overflow, Underflow, DivisionByZero, InvalidOperation: | 
 |         cls.assertFalse(c1.flags[sig]) | 
 |  | 
 | def thfunc2(cls): | 
 |     Decimal = cls.decimal.Decimal | 
 |     InvalidOperation = cls.decimal.InvalidOperation | 
 |     DivisionByZero = cls.decimal.DivisionByZero | 
 |     Overflow = cls.decimal.Overflow | 
 |     Underflow = cls.decimal.Underflow | 
 |     Inexact = cls.decimal.Inexact | 
 |     getcontext = cls.decimal.getcontext | 
 |     localcontext = cls.decimal.localcontext | 
 |  | 
 |     d1 = Decimal(1) | 
 |     d3 = Decimal(3) | 
 |     test1 = d1/d3 | 
 |  | 
 |     thiscontext = getcontext() | 
 |     thiscontext.prec = 18 | 
 |     test2 = d1/d3 | 
 |  | 
 |     with localcontext() as c2: | 
 |         cls.assertTrue(c2.flags[Inexact]) | 
 |         cls.assertRaises(Overflow, c2.multiply, Decimal('1e425000000'), 999) | 
 |         cls.assertTrue(c2.flags[Overflow]) | 
 |         with localcontext(thiscontext) as c3: | 
 |             cls.assertTrue(c3.flags[Inexact]) | 
 |             cls.assertFalse(c3.flags[Overflow]) | 
 |             c3.traps[Underflow] = True | 
 |             cls.assertRaises(Underflow, c3.divide, Decimal('1e-425000000'), 999) | 
 |             cls.assertTrue(c3.flags[Underflow]) | 
 |             del c3 | 
 |         cls.assertFalse(c2.flags[Underflow]) | 
 |         cls.assertFalse(c2.traps[Underflow]) | 
 |         del c2 | 
 |  | 
 |     cls.synchro.set() | 
 |     cls.finish2.set() | 
 |  | 
 |     cls.assertEqual(test1, Decimal('0.333333333333333333333333')) | 
 |     cls.assertEqual(test2, Decimal('0.333333333333333333')) | 
 |  | 
 |     cls.assertFalse(thiscontext.traps[Underflow]) | 
 |     cls.assertTrue(thiscontext.flags[Inexact]) | 
 |     for sig in Overflow, Underflow, DivisionByZero, InvalidOperation: | 
 |         cls.assertFalse(thiscontext.flags[sig]) | 
 |  | 
 | class ThreadingTest(unittest.TestCase): | 
 |     '''Unit tests for thread local contexts in Decimal.''' | 
 |  | 
 |     # Take care executing this test from IDLE, there's an issue in threading | 
 |     # that hangs IDLE and I couldn't find it | 
 |  | 
 |     def test_threading(self): | 
 |         DefaultContext = self.decimal.DefaultContext | 
 |  | 
 |         if self.decimal == C and not self.decimal.HAVE_THREADS: | 
 |             self.skipTest("compiled without threading") | 
 |         # Test the "threading isolation" of a Context. Also test changing | 
 |         # the DefaultContext, which acts as a template for the thread-local | 
 |         # contexts. | 
 |         save_prec = DefaultContext.prec | 
 |         save_emax = DefaultContext.Emax | 
 |         save_emin = DefaultContext.Emin | 
 |         DefaultContext.prec = 24 | 
 |         DefaultContext.Emax = 425000000 | 
 |         DefaultContext.Emin = -425000000 | 
 |  | 
 |         self.synchro = threading.Event() | 
 |         self.finish1 = threading.Event() | 
 |         self.finish2 = threading.Event() | 
 |  | 
 |         th1 = threading.Thread(target=thfunc1, args=(self,)) | 
 |         th2 = threading.Thread(target=thfunc2, args=(self,)) | 
 |  | 
 |         th1.start() | 
 |         th2.start() | 
 |  | 
 |         self.finish1.wait() | 
 |         self.finish2.wait() | 
 |  | 
 |         for sig in Signals[self.decimal]: | 
 |             self.assertFalse(DefaultContext.flags[sig]) | 
 |  | 
 |         DefaultContext.prec = save_prec | 
 |         DefaultContext.Emax = save_emax | 
 |         DefaultContext.Emin = save_emin | 
 |  | 
 | @unittest.skipUnless(threading, 'threading required') | 
 | class CThreadingTest(ThreadingTest): | 
 |     decimal = C | 
 | @unittest.skipUnless(threading, 'threading required') | 
 | class PyThreadingTest(ThreadingTest): | 
 |     decimal = P | 
 |  | 
 | class UsabilityTest(unittest.TestCase): | 
 |     '''Unit tests for Usability cases of Decimal.''' | 
 |  | 
 |     def test_comparison_operators(self): | 
 |  | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         da = Decimal('23.42') | 
 |         db = Decimal('23.42') | 
 |         dc = Decimal('45') | 
 |  | 
 |         #two Decimals | 
 |         self.assertGreater(dc, da) | 
 |         self.assertGreaterEqual(dc, da) | 
 |         self.assertLess(da, dc) | 
 |         self.assertLessEqual(da, dc) | 
 |         self.assertEqual(da, db) | 
 |         self.assertNotEqual(da, dc) | 
 |         self.assertLessEqual(da, db) | 
 |         self.assertGreaterEqual(da, db) | 
 |  | 
 |         #a Decimal and an int | 
 |         self.assertGreater(dc, 23) | 
 |         self.assertLess(23, dc) | 
 |         self.assertEqual(dc, 45) | 
 |  | 
 |         #a Decimal and uncomparable | 
 |         self.assertNotEqual(da, 'ugly') | 
 |         self.assertNotEqual(da, 32.7) | 
 |         self.assertNotEqual(da, object()) | 
 |         self.assertNotEqual(da, object) | 
 |  | 
 |         # sortable | 
 |         a = list(map(Decimal, range(100))) | 
 |         b =  a[:] | 
 |         random.shuffle(a) | 
 |         a.sort() | 
 |         self.assertEqual(a, b) | 
 |  | 
 |     def test_decimal_float_comparison(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         da = Decimal('0.25') | 
 |         db = Decimal('3.0') | 
 |         self.assertLess(da, 3.0) | 
 |         self.assertLessEqual(da, 3.0) | 
 |         self.assertGreater(db, 0.25) | 
 |         self.assertGreaterEqual(db, 0.25) | 
 |         self.assertNotEqual(da, 1.5) | 
 |         self.assertEqual(da, 0.25) | 
 |         self.assertGreater(3.0, da) | 
 |         self.assertGreaterEqual(3.0, da) | 
 |         self.assertLess(0.25, db) | 
 |         self.assertLessEqual(0.25, db) | 
 |         self.assertNotEqual(0.25, db) | 
 |         self.assertEqual(3.0, db) | 
 |         self.assertNotEqual(0.1, Decimal('0.1')) | 
 |  | 
 |     def test_decimal_complex_comparison(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         da = Decimal('0.25') | 
 |         db = Decimal('3.0') | 
 |         self.assertNotEqual(da, (1.5+0j)) | 
 |         self.assertNotEqual((1.5+0j), da) | 
 |         self.assertEqual(da, (0.25+0j)) | 
 |         self.assertEqual((0.25+0j), da) | 
 |         self.assertEqual((3.0+0j), db) | 
 |         self.assertEqual(db, (3.0+0j)) | 
 |  | 
 |         self.assertNotEqual(db, (3.0+1j)) | 
 |         self.assertNotEqual((3.0+1j), db) | 
 |  | 
 |         self.assertIs(db.__lt__(3.0+0j), NotImplemented) | 
 |         self.assertIs(db.__le__(3.0+0j), NotImplemented) | 
 |         self.assertIs(db.__gt__(3.0+0j), NotImplemented) | 
 |         self.assertIs(db.__le__(3.0+0j), NotImplemented) | 
 |  | 
 |     def test_decimal_fraction_comparison(self): | 
 |         D = self.decimal.Decimal | 
 |         F = fractions[self.decimal].Fraction | 
 |         Context = self.decimal.Context | 
 |         localcontext = self.decimal.localcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |  | 
 |  | 
 |         emax = C.MAX_EMAX if C else 999999999 | 
 |         emin = C.MIN_EMIN if C else -999999999 | 
 |         etiny = C.MIN_ETINY if C else -1999999997 | 
 |         c = Context(Emax=emax, Emin=emin) | 
 |  | 
 |         with localcontext(c): | 
 |             c.prec = emax | 
 |             self.assertLess(D(0), F(1,9999999999999999999999999999999999999)) | 
 |             self.assertLess(F(-1,9999999999999999999999999999999999999), D(0)) | 
 |             self.assertLess(F(0,1), D("1e" + str(etiny))) | 
 |             self.assertLess(D("-1e" + str(etiny)), F(0,1)) | 
 |             self.assertLess(F(0,9999999999999999999999999), D("1e" + str(etiny))) | 
 |             self.assertLess(D("-1e" + str(etiny)), F(0,9999999999999999999999999)) | 
 |  | 
 |             self.assertEqual(D("0.1"), F(1,10)) | 
 |             self.assertEqual(F(1,10), D("0.1")) | 
 |  | 
 |             c.prec = 300 | 
 |             self.assertNotEqual(D(1)/3, F(1,3)) | 
 |             self.assertNotEqual(F(1,3), D(1)/3) | 
 |  | 
 |             self.assertLessEqual(F(120984237, 9999999999), D("9e" + str(emax))) | 
 |             self.assertGreaterEqual(D("9e" + str(emax)), F(120984237, 9999999999)) | 
 |  | 
 |             self.assertGreater(D('inf'), F(99999999999,123)) | 
 |             self.assertGreater(D('inf'), F(-99999999999,123)) | 
 |             self.assertLess(D('-inf'), F(99999999999,123)) | 
 |             self.assertLess(D('-inf'), F(-99999999999,123)) | 
 |  | 
 |             self.assertRaises(InvalidOperation, D('nan').__gt__, F(-9,123)) | 
 |             self.assertIs(NotImplemented, F(-9,123).__lt__(D('nan'))) | 
 |             self.assertNotEqual(D('nan'), F(-9,123)) | 
 |             self.assertNotEqual(F(-9,123), D('nan')) | 
 |  | 
 |     def test_copy_and_deepcopy_methods(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d = Decimal('43.24') | 
 |         c = copy.copy(d) | 
 |         self.assertEqual(id(c), id(d)) | 
 |         dc = copy.deepcopy(d) | 
 |         self.assertEqual(id(dc), id(d)) | 
 |  | 
 |     def test_hash_method(self): | 
 |  | 
 |         Decimal = self.decimal.Decimal | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         def hashit(d): | 
 |             a = hash(d) | 
 |             b = d.__hash__() | 
 |             self.assertEqual(a, b) | 
 |             return a | 
 |  | 
 |         #just that it's hashable | 
 |         hashit(Decimal(23)) | 
 |         hashit(Decimal('Infinity')) | 
 |         hashit(Decimal('-Infinity')) | 
 |         hashit(Decimal('nan123')) | 
 |         hashit(Decimal('-NaN')) | 
 |  | 
 |         test_values = [Decimal(sign*(2**m + n)) | 
 |                        for m in [0, 14, 15, 16, 17, 30, 31, | 
 |                                  32, 33, 61, 62, 63, 64, 65, 66] | 
 |                        for n in range(-10, 10) | 
 |                        for sign in [-1, 1]] | 
 |         test_values.extend([ | 
 |                 Decimal("-1"), # ==> -2 | 
 |                 Decimal("-0"), # zeros | 
 |                 Decimal("0.00"), | 
 |                 Decimal("-0.000"), | 
 |                 Decimal("0E10"), | 
 |                 Decimal("-0E12"), | 
 |                 Decimal("10.0"), # negative exponent | 
 |                 Decimal("-23.00000"), | 
 |                 Decimal("1230E100"), # positive exponent | 
 |                 Decimal("-4.5678E50"), | 
 |                 # a value for which hash(n) != hash(n % (2**64-1)) | 
 |                 # in Python pre-2.6 | 
 |                 Decimal(2**64 + 2**32 - 1), | 
 |                 # selection of values which fail with the old (before | 
 |                 # version 2.6) long.__hash__ | 
 |                 Decimal("1.634E100"), | 
 |                 Decimal("90.697E100"), | 
 |                 Decimal("188.83E100"), | 
 |                 Decimal("1652.9E100"), | 
 |                 Decimal("56531E100"), | 
 |                 ]) | 
 |  | 
 |         # check that hash(d) == hash(int(d)) for integral values | 
 |         for value in test_values: | 
 |             self.assertEqual(hashit(value), hashit(int(value))) | 
 |  | 
 |         #the same hash that to an int | 
 |         self.assertEqual(hashit(Decimal(23)), hashit(23)) | 
 |         self.assertRaises(TypeError, hash, Decimal('sNaN')) | 
 |         self.assertTrue(hashit(Decimal('Inf'))) | 
 |         self.assertTrue(hashit(Decimal('-Inf'))) | 
 |  | 
 |         # check that the hashes of a Decimal float match when they | 
 |         # represent exactly the same values | 
 |         test_strings = ['inf', '-Inf', '0.0', '-.0e1', | 
 |                         '34.0', '2.5', '112390.625', '-0.515625'] | 
 |         for s in test_strings: | 
 |             f = float(s) | 
 |             d = Decimal(s) | 
 |             self.assertEqual(hashit(f), hashit(d)) | 
 |  | 
 |         with localcontext() as c: | 
 |             # check that the value of the hash doesn't depend on the | 
 |             # current context (issue #1757) | 
 |             x = Decimal("123456789.1") | 
 |  | 
 |             c.prec = 6 | 
 |             h1 = hashit(x) | 
 |             c.prec = 10 | 
 |             h2 = hashit(x) | 
 |             c.prec = 16 | 
 |             h3 = hashit(x) | 
 |  | 
 |             self.assertEqual(h1, h2) | 
 |             self.assertEqual(h1, h3) | 
 |  | 
 |             c.prec = 10000 | 
 |             x = 1100 ** 1248 | 
 |             self.assertEqual(hashit(Decimal(x)), hashit(x)) | 
 |  | 
 |     def test_min_and_max_methods(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('15.32') | 
 |         d2 = Decimal('28.5') | 
 |         l1 = 15 | 
 |         l2 = 28 | 
 |  | 
 |         #between Decimals | 
 |         self.assertIs(min(d1,d2), d1) | 
 |         self.assertIs(min(d2,d1), d1) | 
 |         self.assertIs(max(d1,d2), d2) | 
 |         self.assertIs(max(d2,d1), d2) | 
 |  | 
 |         #between Decimal and int | 
 |         self.assertIs(min(d1,l2), d1) | 
 |         self.assertIs(min(l2,d1), d1) | 
 |         self.assertIs(max(l1,d2), d2) | 
 |         self.assertIs(max(d2,l1), d2) | 
 |  | 
 |     def test_as_nonzero(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #as false | 
 |         self.assertFalse(Decimal(0)) | 
 |         #as true | 
 |         self.assertTrue(Decimal('0.372')) | 
 |  | 
 |     def test_tostring_methods(self): | 
 |         #Test str and repr methods. | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d = Decimal('15.32') | 
 |         self.assertEqual(str(d), '15.32')               # str | 
 |         self.assertEqual(repr(d), "Decimal('15.32')")   # repr | 
 |  | 
 |     def test_tonum_methods(self): | 
 |         #Test float and int methods. | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         d1 = Decimal('66') | 
 |         d2 = Decimal('15.32') | 
 |  | 
 |         #int | 
 |         self.assertEqual(int(d1), 66) | 
 |         self.assertEqual(int(d2), 15) | 
 |  | 
 |         #float | 
 |         self.assertEqual(float(d1), 66) | 
 |         self.assertEqual(float(d2), 15.32) | 
 |  | 
 |         #floor | 
 |         test_pairs = [ | 
 |             ('123.00', 123), | 
 |             ('3.2', 3), | 
 |             ('3.54', 3), | 
 |             ('3.899', 3), | 
 |             ('-2.3', -3), | 
 |             ('-11.0', -11), | 
 |             ('0.0', 0), | 
 |             ('-0E3', 0), | 
 |             ('89891211712379812736.1', 89891211712379812736), | 
 |             ] | 
 |         for d, i in test_pairs: | 
 |             self.assertEqual(math.floor(Decimal(d)), i) | 
 |         self.assertRaises(ValueError, math.floor, Decimal('-NaN')) | 
 |         self.assertRaises(ValueError, math.floor, Decimal('sNaN')) | 
 |         self.assertRaises(ValueError, math.floor, Decimal('NaN123')) | 
 |         self.assertRaises(OverflowError, math.floor, Decimal('Inf')) | 
 |         self.assertRaises(OverflowError, math.floor, Decimal('-Inf')) | 
 |  | 
 |         #ceiling | 
 |         test_pairs = [ | 
 |             ('123.00', 123), | 
 |             ('3.2', 4), | 
 |             ('3.54', 4), | 
 |             ('3.899', 4), | 
 |             ('-2.3', -2), | 
 |             ('-11.0', -11), | 
 |             ('0.0', 0), | 
 |             ('-0E3', 0), | 
 |             ('89891211712379812736.1', 89891211712379812737), | 
 |             ] | 
 |         for d, i in test_pairs: | 
 |             self.assertEqual(math.ceil(Decimal(d)), i) | 
 |         self.assertRaises(ValueError, math.ceil, Decimal('-NaN')) | 
 |         self.assertRaises(ValueError, math.ceil, Decimal('sNaN')) | 
 |         self.assertRaises(ValueError, math.ceil, Decimal('NaN123')) | 
 |         self.assertRaises(OverflowError, math.ceil, Decimal('Inf')) | 
 |         self.assertRaises(OverflowError, math.ceil, Decimal('-Inf')) | 
 |  | 
 |         #round, single argument | 
 |         test_pairs = [ | 
 |             ('123.00', 123), | 
 |             ('3.2', 3), | 
 |             ('3.54', 4), | 
 |             ('3.899', 4), | 
 |             ('-2.3', -2), | 
 |             ('-11.0', -11), | 
 |             ('0.0', 0), | 
 |             ('-0E3', 0), | 
 |             ('-3.5', -4), | 
 |             ('-2.5', -2), | 
 |             ('-1.5', -2), | 
 |             ('-0.5', 0), | 
 |             ('0.5', 0), | 
 |             ('1.5', 2), | 
 |             ('2.5', 2), | 
 |             ('3.5', 4), | 
 |             ] | 
 |         for d, i in test_pairs: | 
 |             self.assertEqual(round(Decimal(d)), i) | 
 |         self.assertRaises(ValueError, round, Decimal('-NaN')) | 
 |         self.assertRaises(ValueError, round, Decimal('sNaN')) | 
 |         self.assertRaises(ValueError, round, Decimal('NaN123')) | 
 |         self.assertRaises(OverflowError, round, Decimal('Inf')) | 
 |         self.assertRaises(OverflowError, round, Decimal('-Inf')) | 
 |  | 
 |         #round, two arguments;  this is essentially equivalent | 
 |         #to quantize, which is already extensively tested | 
 |         test_triples = [ | 
 |             ('123.456', -4, '0E+4'), | 
 |             ('123.456', -3, '0E+3'), | 
 |             ('123.456', -2, '1E+2'), | 
 |             ('123.456', -1, '1.2E+2'), | 
 |             ('123.456', 0, '123'), | 
 |             ('123.456', 1, '123.5'), | 
 |             ('123.456', 2, '123.46'), | 
 |             ('123.456', 3, '123.456'), | 
 |             ('123.456', 4, '123.4560'), | 
 |             ('123.455', 2, '123.46'), | 
 |             ('123.445', 2, '123.44'), | 
 |             ('Inf', 4, 'NaN'), | 
 |             ('-Inf', -23, 'NaN'), | 
 |             ('sNaN314', 3, 'NaN314'), | 
 |             ] | 
 |         for d, n, r in test_triples: | 
 |             self.assertEqual(str(round(Decimal(d), n)), r) | 
 |  | 
 |     def test_nan_to_float(self): | 
 |         # Test conversions of decimal NANs to float. | 
 |         # See http://bugs.python.org/issue15544 | 
 |         Decimal = self.decimal.Decimal | 
 |         for s in ('nan', 'nan1234', '-nan', '-nan2468'): | 
 |             f = float(Decimal(s)) | 
 |             self.assertTrue(math.isnan(f)) | 
 |             sign = math.copysign(1.0, f) | 
 |             self.assertEqual(sign, -1.0 if s.startswith('-') else 1.0) | 
 |  | 
 |     def test_snan_to_float(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         for s in ('snan', '-snan', 'snan1357', '-snan1234'): | 
 |             d = Decimal(s) | 
 |             self.assertRaises(ValueError, float, d) | 
 |  | 
 |     def test_eval_round_trip(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #with zero | 
 |         d = Decimal( (0, (0,), 0) ) | 
 |         self.assertEqual(d, eval(repr(d))) | 
 |  | 
 |         #int | 
 |         d = Decimal( (1, (4, 5), 0) ) | 
 |         self.assertEqual(d, eval(repr(d))) | 
 |  | 
 |         #float | 
 |         d = Decimal( (0, (4, 5, 3, 4), -2) ) | 
 |         self.assertEqual(d, eval(repr(d))) | 
 |  | 
 |         #weird | 
 |         d = Decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) ) | 
 |         self.assertEqual(d, eval(repr(d))) | 
 |  | 
 |     def test_as_tuple(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         #with zero | 
 |         d = Decimal(0) | 
 |         self.assertEqual(d.as_tuple(), (0, (0,), 0) ) | 
 |  | 
 |         #int | 
 |         d = Decimal(-45) | 
 |         self.assertEqual(d.as_tuple(), (1, (4, 5), 0) ) | 
 |  | 
 |         #complicated string | 
 |         d = Decimal("-4.34913534E-17") | 
 |         self.assertEqual(d.as_tuple(), (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) ) | 
 |  | 
 |         # The '0' coefficient is implementation specific to decimal.py. | 
 |         # It has no meaning in the C-version and is ignored there. | 
 |         d = Decimal("Infinity") | 
 |         self.assertEqual(d.as_tuple(), (0, (0,), 'F') ) | 
 |  | 
 |         #leading zeros in coefficient should be stripped | 
 |         d = Decimal( (0, (0, 0, 4, 0, 5, 3, 4), -2) ) | 
 |         self.assertEqual(d.as_tuple(), (0, (4, 0, 5, 3, 4), -2) ) | 
 |         d = Decimal( (1, (0, 0, 0), 37) ) | 
 |         self.assertEqual(d.as_tuple(), (1, (0,), 37)) | 
 |         d = Decimal( (1, (), 37) ) | 
 |         self.assertEqual(d.as_tuple(), (1, (0,), 37)) | 
 |  | 
 |         #leading zeros in NaN diagnostic info should be stripped | 
 |         d = Decimal( (0, (0, 0, 4, 0, 5, 3, 4), 'n') ) | 
 |         self.assertEqual(d.as_tuple(), (0, (4, 0, 5, 3, 4), 'n') ) | 
 |         d = Decimal( (1, (0, 0, 0), 'N') ) | 
 |         self.assertEqual(d.as_tuple(), (1, (), 'N') ) | 
 |         d = Decimal( (1, (), 'n') ) | 
 |         self.assertEqual(d.as_tuple(), (1, (), 'n') ) | 
 |  | 
 |         # For infinities, decimal.py has always silently accepted any | 
 |         # coefficient tuple. | 
 |         d = Decimal( (0, (0,), 'F') ) | 
 |         self.assertEqual(d.as_tuple(), (0, (0,), 'F')) | 
 |         d = Decimal( (0, (4, 5, 3, 4), 'F') ) | 
 |         self.assertEqual(d.as_tuple(), (0, (0,), 'F')) | 
 |         d = Decimal( (1, (0, 2, 7, 1), 'F') ) | 
 |         self.assertEqual(d.as_tuple(), (1, (0,), 'F')) | 
 |  | 
 |     def test_subclassing(self): | 
 |         # Different behaviours when subclassing Decimal | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         class MyDecimal(Decimal): | 
 |             y = None | 
 |  | 
 |         d1 = MyDecimal(1) | 
 |         d2 = MyDecimal(2) | 
 |         d = d1 + d2 | 
 |         self.assertIs(type(d), Decimal) | 
 |  | 
 |         d = d1.max(d2) | 
 |         self.assertIs(type(d), Decimal) | 
 |  | 
 |         d = copy.copy(d1) | 
 |         self.assertIs(type(d), MyDecimal) | 
 |         self.assertEqual(d, d1) | 
 |  | 
 |         d = copy.deepcopy(d1) | 
 |         self.assertIs(type(d), MyDecimal) | 
 |         self.assertEqual(d, d1) | 
 |  | 
 |         # Decimal(Decimal) | 
 |         d = Decimal('1.0') | 
 |         x = Decimal(d) | 
 |         self.assertIs(type(x), Decimal) | 
 |         self.assertEqual(x, d) | 
 |  | 
 |         # MyDecimal(Decimal) | 
 |         m = MyDecimal(d) | 
 |         self.assertIs(type(m), MyDecimal) | 
 |         self.assertEqual(m, d) | 
 |         self.assertIs(m.y, None) | 
 |  | 
 |         # Decimal(MyDecimal) | 
 |         x = Decimal(m) | 
 |         self.assertIs(type(x), Decimal) | 
 |         self.assertEqual(x, d) | 
 |  | 
 |         # MyDecimal(MyDecimal) | 
 |         m.y = 9 | 
 |         x = MyDecimal(m) | 
 |         self.assertIs(type(x), MyDecimal) | 
 |         self.assertEqual(x, d) | 
 |         self.assertIs(x.y, None) | 
 |  | 
 |     def test_implicit_context(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         getcontext = self.decimal.getcontext | 
 |  | 
 |         # Check results when context given implicitly.  (Issue 2478) | 
 |         c = getcontext() | 
 |         self.assertEqual(str(Decimal(0).sqrt()), | 
 |                          str(c.sqrt(Decimal(0)))) | 
 |  | 
 |     def test_none_args(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         localcontext = self.decimal.localcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         DivisionByZero = self.decimal.DivisionByZero | 
 |         Overflow = self.decimal.Overflow | 
 |         Underflow = self.decimal.Underflow | 
 |         Subnormal = self.decimal.Subnormal | 
 |         Inexact = self.decimal.Inexact | 
 |         Rounded = self.decimal.Rounded | 
 |         Clamped = self.decimal.Clamped | 
 |  | 
 |         with localcontext(Context()) as c: | 
 |             c.prec = 7 | 
 |             c.Emax = 999 | 
 |             c.Emin = -999 | 
 |  | 
 |             x = Decimal("111") | 
 |             y = Decimal("1e9999") | 
 |             z = Decimal("1e-9999") | 
 |  | 
 |             ##### Unary functions | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(x.exp(context=None)), '1.609487E+48') | 
 |             self.assertTrue(c.flags[Inexact]) | 
 |             self.assertTrue(c.flags[Rounded]) | 
 |             c.clear_flags() | 
 |             self.assertRaises(Overflow, y.exp, context=None) | 
 |             self.assertTrue(c.flags[Overflow]) | 
 |  | 
 |             self.assertIs(z.is_normal(context=None), False) | 
 |             self.assertIs(z.is_subnormal(context=None), True) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(x.ln(context=None)), '4.709530') | 
 |             self.assertTrue(c.flags[Inexact]) | 
 |             self.assertTrue(c.flags[Rounded]) | 
 |             c.clear_flags() | 
 |             self.assertRaises(InvalidOperation, Decimal(-1).ln, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(x.log10(context=None)), '2.045323') | 
 |             self.assertTrue(c.flags[Inexact]) | 
 |             self.assertTrue(c.flags[Rounded]) | 
 |             c.clear_flags() | 
 |             self.assertRaises(InvalidOperation, Decimal(-1).log10, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(x.logb(context=None)), '2') | 
 |             self.assertRaises(DivisionByZero, Decimal(0).logb, context=None) | 
 |             self.assertTrue(c.flags[DivisionByZero]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(x.logical_invert(context=None)), '1111000') | 
 |             self.assertRaises(InvalidOperation, y.logical_invert, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(y.next_minus(context=None)), '9.999999E+999') | 
 |             self.assertRaises(InvalidOperation, Decimal('sNaN').next_minus, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(y.next_plus(context=None)), 'Infinity') | 
 |             self.assertRaises(InvalidOperation, Decimal('sNaN').next_plus, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(z.normalize(context=None)), '0') | 
 |             self.assertRaises(Overflow, y.normalize, context=None) | 
 |             self.assertTrue(c.flags[Overflow]) | 
 |  | 
 |             self.assertEqual(str(z.number_class(context=None)), '+Subnormal') | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(str(z.sqrt(context=None)), '0E-1005') | 
 |             self.assertTrue(c.flags[Clamped]) | 
 |             self.assertTrue(c.flags[Inexact]) | 
 |             self.assertTrue(c.flags[Rounded]) | 
 |             self.assertTrue(c.flags[Subnormal]) | 
 |             self.assertTrue(c.flags[Underflow]) | 
 |             c.clear_flags() | 
 |             self.assertRaises(Overflow, y.sqrt, context=None) | 
 |             self.assertTrue(c.flags[Overflow]) | 
 |  | 
 |             c.capitals = 0 | 
 |             self.assertEqual(str(z.to_eng_string(context=None)), '1e-9999') | 
 |             c.capitals = 1 | 
 |  | 
 |  | 
 |             ##### Binary functions | 
 |             c.clear_flags() | 
 |             ans = str(x.compare(Decimal('Nan891287828'), context=None)) | 
 |             self.assertEqual(ans, 'NaN1287828') | 
 |             self.assertRaises(InvalidOperation, x.compare, Decimal('sNaN'), context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.compare_signal(8224, context=None)) | 
 |             self.assertEqual(ans, '-1') | 
 |             self.assertRaises(InvalidOperation, x.compare_signal, Decimal('NaN'), context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.logical_and(101, context=None)) | 
 |             self.assertEqual(ans, '101') | 
 |             self.assertRaises(InvalidOperation, x.logical_and, 123, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.logical_or(101, context=None)) | 
 |             self.assertEqual(ans, '111') | 
 |             self.assertRaises(InvalidOperation, x.logical_or, 123, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.logical_xor(101, context=None)) | 
 |             self.assertEqual(ans, '10') | 
 |             self.assertRaises(InvalidOperation, x.logical_xor, 123, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.max(101, context=None)) | 
 |             self.assertEqual(ans, '111') | 
 |             self.assertRaises(InvalidOperation, x.max, Decimal('sNaN'), context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.max_mag(101, context=None)) | 
 |             self.assertEqual(ans, '111') | 
 |             self.assertRaises(InvalidOperation, x.max_mag, Decimal('sNaN'), context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.min(101, context=None)) | 
 |             self.assertEqual(ans, '101') | 
 |             self.assertRaises(InvalidOperation, x.min, Decimal('sNaN'), context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.min_mag(101, context=None)) | 
 |             self.assertEqual(ans, '101') | 
 |             self.assertRaises(InvalidOperation, x.min_mag, Decimal('sNaN'), context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.remainder_near(101, context=None)) | 
 |             self.assertEqual(ans, '10') | 
 |             self.assertRaises(InvalidOperation, y.remainder_near, 101, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.rotate(2, context=None)) | 
 |             self.assertEqual(ans, '11100') | 
 |             self.assertRaises(InvalidOperation, x.rotate, 101, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.scaleb(7, context=None)) | 
 |             self.assertEqual(ans, '1.11E+9') | 
 |             self.assertRaises(InvalidOperation, x.scaleb, 10000, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             ans = str(x.shift(2, context=None)) | 
 |             self.assertEqual(ans, '11100') | 
 |             self.assertRaises(InvalidOperation, x.shift, 10000, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |  | 
 |             ##### Ternary functions | 
 |             c.clear_flags() | 
 |             ans = str(x.fma(2, 3, context=None)) | 
 |             self.assertEqual(ans, '225') | 
 |             self.assertRaises(Overflow, x.fma, Decimal('1e9999'), 3, context=None) | 
 |             self.assertTrue(c.flags[Overflow]) | 
 |  | 
 |  | 
 |             ##### Special cases | 
 |             c.rounding = ROUND_HALF_EVEN | 
 |             ans = str(Decimal('1.5').to_integral(rounding=None, context=None)) | 
 |             self.assertEqual(ans, '2') | 
 |             c.rounding = ROUND_DOWN | 
 |             ans = str(Decimal('1.5').to_integral(rounding=None, context=None)) | 
 |             self.assertEqual(ans, '1') | 
 |             ans = str(Decimal('1.5').to_integral(rounding=ROUND_UP, context=None)) | 
 |             self.assertEqual(ans, '2') | 
 |             c.clear_flags() | 
 |             self.assertRaises(InvalidOperation, Decimal('sNaN').to_integral, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.rounding = ROUND_HALF_EVEN | 
 |             ans = str(Decimal('1.5').to_integral_value(rounding=None, context=None)) | 
 |             self.assertEqual(ans, '2') | 
 |             c.rounding = ROUND_DOWN | 
 |             ans = str(Decimal('1.5').to_integral_value(rounding=None, context=None)) | 
 |             self.assertEqual(ans, '1') | 
 |             ans = str(Decimal('1.5').to_integral_value(rounding=ROUND_UP, context=None)) | 
 |             self.assertEqual(ans, '2') | 
 |             c.clear_flags() | 
 |             self.assertRaises(InvalidOperation, Decimal('sNaN').to_integral_value, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.rounding = ROUND_HALF_EVEN | 
 |             ans = str(Decimal('1.5').to_integral_exact(rounding=None, context=None)) | 
 |             self.assertEqual(ans, '2') | 
 |             c.rounding = ROUND_DOWN | 
 |             ans = str(Decimal('1.5').to_integral_exact(rounding=None, context=None)) | 
 |             self.assertEqual(ans, '1') | 
 |             ans = str(Decimal('1.5').to_integral_exact(rounding=ROUND_UP, context=None)) | 
 |             self.assertEqual(ans, '2') | 
 |             c.clear_flags() | 
 |             self.assertRaises(InvalidOperation, Decimal('sNaN').to_integral_exact, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.rounding = ROUND_UP | 
 |             ans = str(Decimal('1.50001').quantize(exp=Decimal('1e-3'), rounding=None, context=None)) | 
 |             self.assertEqual(ans, '1.501') | 
 |             c.rounding = ROUND_DOWN | 
 |             ans = str(Decimal('1.50001').quantize(exp=Decimal('1e-3'), rounding=None, context=None)) | 
 |             self.assertEqual(ans, '1.500') | 
 |             ans = str(Decimal('1.50001').quantize(exp=Decimal('1e-3'), rounding=ROUND_UP, context=None)) | 
 |             self.assertEqual(ans, '1.501') | 
 |             c.clear_flags() | 
 |             self.assertRaises(InvalidOperation, y.quantize, Decimal('1e-10'), rounding=ROUND_UP, context=None) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |         with localcontext(Context()) as context: | 
 |             context.prec = 7 | 
 |             context.Emax = 999 | 
 |             context.Emin = -999 | 
 |             with localcontext(ctx=None) as c: | 
 |                 self.assertEqual(c.prec, 7) | 
 |                 self.assertEqual(c.Emax, 999) | 
 |                 self.assertEqual(c.Emin, -999) | 
 |  | 
 |     def test_conversions_from_int(self): | 
 |         # Check that methods taking a second Decimal argument will | 
 |         # always accept an integer in place of a Decimal. | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         self.assertEqual(Decimal(4).compare(3), | 
 |                          Decimal(4).compare(Decimal(3))) | 
 |         self.assertEqual(Decimal(4).compare_signal(3), | 
 |                          Decimal(4).compare_signal(Decimal(3))) | 
 |         self.assertEqual(Decimal(4).compare_total(3), | 
 |                          Decimal(4).compare_total(Decimal(3))) | 
 |         self.assertEqual(Decimal(4).compare_total_mag(3), | 
 |                          Decimal(4).compare_total_mag(Decimal(3))) | 
 |         self.assertEqual(Decimal(10101).logical_and(1001), | 
 |                          Decimal(10101).logical_and(Decimal(1001))) | 
 |         self.assertEqual(Decimal(10101).logical_or(1001), | 
 |                          Decimal(10101).logical_or(Decimal(1001))) | 
 |         self.assertEqual(Decimal(10101).logical_xor(1001), | 
 |                          Decimal(10101).logical_xor(Decimal(1001))) | 
 |         self.assertEqual(Decimal(567).max(123), | 
 |                          Decimal(567).max(Decimal(123))) | 
 |         self.assertEqual(Decimal(567).max_mag(123), | 
 |                          Decimal(567).max_mag(Decimal(123))) | 
 |         self.assertEqual(Decimal(567).min(123), | 
 |                          Decimal(567).min(Decimal(123))) | 
 |         self.assertEqual(Decimal(567).min_mag(123), | 
 |                          Decimal(567).min_mag(Decimal(123))) | 
 |         self.assertEqual(Decimal(567).next_toward(123), | 
 |                          Decimal(567).next_toward(Decimal(123))) | 
 |         self.assertEqual(Decimal(1234).quantize(100), | 
 |                          Decimal(1234).quantize(Decimal(100))) | 
 |         self.assertEqual(Decimal(768).remainder_near(1234), | 
 |                          Decimal(768).remainder_near(Decimal(1234))) | 
 |         self.assertEqual(Decimal(123).rotate(1), | 
 |                          Decimal(123).rotate(Decimal(1))) | 
 |         self.assertEqual(Decimal(1234).same_quantum(1000), | 
 |                          Decimal(1234).same_quantum(Decimal(1000))) | 
 |         self.assertEqual(Decimal('9.123').scaleb(-100), | 
 |                          Decimal('9.123').scaleb(Decimal(-100))) | 
 |         self.assertEqual(Decimal(456).shift(-1), | 
 |                          Decimal(456).shift(Decimal(-1))) | 
 |  | 
 |         self.assertEqual(Decimal(-12).fma(Decimal(45), 67), | 
 |                          Decimal(-12).fma(Decimal(45), Decimal(67))) | 
 |         self.assertEqual(Decimal(-12).fma(45, 67), | 
 |                          Decimal(-12).fma(Decimal(45), Decimal(67))) | 
 |         self.assertEqual(Decimal(-12).fma(45, Decimal(67)), | 
 |                          Decimal(-12).fma(Decimal(45), Decimal(67))) | 
 |  | 
 | class CUsabilityTest(UsabilityTest): | 
 |     decimal = C | 
 | class PyUsabilityTest(UsabilityTest): | 
 |     decimal = P | 
 |  | 
 | class PythonAPItests(unittest.TestCase): | 
 |  | 
 |     def test_abc(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         self.assertTrue(issubclass(Decimal, numbers.Number)) | 
 |         self.assertFalse(issubclass(Decimal, numbers.Real)) | 
 |         self.assertIsInstance(Decimal(0), numbers.Number) | 
 |         self.assertNotIsInstance(Decimal(0), numbers.Real) | 
 |  | 
 |     def test_pickle(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         savedecimal = sys.modules['decimal'] | 
 |  | 
 |         # Round trip | 
 |         sys.modules['decimal'] = self.decimal | 
 |         d = Decimal('-3.141590000') | 
 |         p = pickle.dumps(d) | 
 |         e = pickle.loads(p) | 
 |         self.assertEqual(d, e) | 
 |  | 
 |         if C: | 
 |             # Test interchangeability | 
 |             x = C.Decimal('-3.123e81723') | 
 |             y = P.Decimal('-3.123e81723') | 
 |  | 
 |             sys.modules['decimal'] = C | 
 |             sx = pickle.dumps(x) | 
 |             sys.modules['decimal'] = P | 
 |             r = pickle.loads(sx) | 
 |             self.assertIsInstance(r, P.Decimal) | 
 |             self.assertEqual(r, y) | 
 |  | 
 |             sys.modules['decimal'] = P | 
 |             sy = pickle.dumps(y) | 
 |             sys.modules['decimal'] = C | 
 |             r = pickle.loads(sy) | 
 |             self.assertIsInstance(r, C.Decimal) | 
 |             self.assertEqual(r, x) | 
 |  | 
 |             x = C.Decimal('-3.123e81723').as_tuple() | 
 |             y = P.Decimal('-3.123e81723').as_tuple() | 
 |  | 
 |             sys.modules['decimal'] = C | 
 |             sx = pickle.dumps(x) | 
 |             sys.modules['decimal'] = P | 
 |             r = pickle.loads(sx) | 
 |             self.assertIsInstance(r, P.DecimalTuple) | 
 |             self.assertEqual(r, y) | 
 |  | 
 |             sys.modules['decimal'] = P | 
 |             sy = pickle.dumps(y) | 
 |             sys.modules['decimal'] = C | 
 |             r = pickle.loads(sy) | 
 |             self.assertIsInstance(r, C.DecimalTuple) | 
 |             self.assertEqual(r, x) | 
 |  | 
 |         sys.modules['decimal'] = savedecimal | 
 |  | 
 |     def test_int(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         for x in range(-250, 250): | 
 |             s = '%0.2f' % (x / 100.0) | 
 |             # should work the same as for floats | 
 |             self.assertEqual(int(Decimal(s)), int(float(s))) | 
 |             # should work the same as to_integral in the ROUND_DOWN mode | 
 |             d = Decimal(s) | 
 |             r = d.to_integral(ROUND_DOWN) | 
 |             self.assertEqual(Decimal(int(d)), r) | 
 |  | 
 |         self.assertRaises(ValueError, int, Decimal('-nan')) | 
 |         self.assertRaises(ValueError, int, Decimal('snan')) | 
 |         self.assertRaises(OverflowError, int, Decimal('inf')) | 
 |         self.assertRaises(OverflowError, int, Decimal('-inf')) | 
 |  | 
 |     def test_trunc(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         for x in range(-250, 250): | 
 |             s = '%0.2f' % (x / 100.0) | 
 |             # should work the same as for floats | 
 |             self.assertEqual(int(Decimal(s)), int(float(s))) | 
 |             # should work the same as to_integral in the ROUND_DOWN mode | 
 |             d = Decimal(s) | 
 |             r = d.to_integral(ROUND_DOWN) | 
 |             self.assertEqual(Decimal(math.trunc(d)), r) | 
 |  | 
 |     def test_from_float(self): | 
 |  | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         class MyDecimal(Decimal): | 
 |             pass | 
 |  | 
 |         self.assertTrue(issubclass(MyDecimal, Decimal)) | 
 |  | 
 |         r = MyDecimal.from_float(0.1) | 
 |         self.assertEqual(type(r), MyDecimal) | 
 |         self.assertEqual(str(r), | 
 |                 '0.1000000000000000055511151231257827021181583404541015625') | 
 |         bigint = 12345678901234567890123456789 | 
 |         self.assertEqual(MyDecimal.from_float(bigint), MyDecimal(bigint)) | 
 |         self.assertTrue(MyDecimal.from_float(float('nan')).is_qnan()) | 
 |         self.assertTrue(MyDecimal.from_float(float('inf')).is_infinite()) | 
 |         self.assertTrue(MyDecimal.from_float(float('-inf')).is_infinite()) | 
 |         self.assertEqual(str(MyDecimal.from_float(float('nan'))), | 
 |                          str(Decimal('NaN'))) | 
 |         self.assertEqual(str(MyDecimal.from_float(float('inf'))), | 
 |                          str(Decimal('Infinity'))) | 
 |         self.assertEqual(str(MyDecimal.from_float(float('-inf'))), | 
 |                          str(Decimal('-Infinity'))) | 
 |         self.assertRaises(TypeError, MyDecimal.from_float, 'abc') | 
 |         for i in range(200): | 
 |             x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0) | 
 |             self.assertEqual(x, float(MyDecimal.from_float(x))) # roundtrip | 
 |  | 
 |     def test_create_decimal_from_float(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         Inexact = self.decimal.Inexact | 
 |  | 
 |         context = Context(prec=5, rounding=ROUND_DOWN) | 
 |         self.assertEqual( | 
 |             context.create_decimal_from_float(math.pi), | 
 |             Decimal('3.1415') | 
 |         ) | 
 |         context = Context(prec=5, rounding=ROUND_UP) | 
 |         self.assertEqual( | 
 |             context.create_decimal_from_float(math.pi), | 
 |             Decimal('3.1416') | 
 |         ) | 
 |         context = Context(prec=5, traps=[Inexact]) | 
 |         self.assertRaises( | 
 |             Inexact, | 
 |             context.create_decimal_from_float, | 
 |             math.pi | 
 |         ) | 
 |         self.assertEqual(repr(context.create_decimal_from_float(-0.0)), | 
 |                          "Decimal('-0')") | 
 |         self.assertEqual(repr(context.create_decimal_from_float(1.0)), | 
 |                          "Decimal('1')") | 
 |         self.assertEqual(repr(context.create_decimal_from_float(10)), | 
 |                          "Decimal('10')") | 
 |  | 
 |     def test_quantize(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |  | 
 |         c = Context(Emax=99999, Emin=-99999) | 
 |         self.assertEqual( | 
 |             Decimal('7.335').quantize(Decimal('.01')), | 
 |             Decimal('7.34') | 
 |         ) | 
 |         self.assertEqual( | 
 |             Decimal('7.335').quantize(Decimal('.01'), rounding=ROUND_DOWN), | 
 |             Decimal('7.33') | 
 |         ) | 
 |         self.assertRaises( | 
 |             InvalidOperation, | 
 |             Decimal("10e99999").quantize, Decimal('1e100000'), context=c | 
 |         ) | 
 |  | 
 |         c = Context() | 
 |         d = Decimal("0.871831e800") | 
 |         x = d.quantize(context=c, exp=Decimal("1e797"), rounding=ROUND_DOWN) | 
 |         self.assertEqual(x, Decimal('8.71E+799')) | 
 |  | 
 |     def test_complex(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         x = Decimal("9.8182731e181273") | 
 |         self.assertEqual(x.real, x) | 
 |         self.assertEqual(x.imag, 0) | 
 |         self.assertEqual(x.conjugate(), x) | 
 |  | 
 |         x = Decimal("1") | 
 |         self.assertEqual(complex(x), complex(float(1))) | 
 |  | 
 |         self.assertRaises(AttributeError, setattr, x, 'real', 100) | 
 |         self.assertRaises(AttributeError, setattr, x, 'imag', 100) | 
 |         self.assertRaises(AttributeError, setattr, x, 'conjugate', 100) | 
 |         self.assertRaises(AttributeError, setattr, x, '__complex__', 100) | 
 |  | 
 |     def test_named_parameters(self): | 
 |         D = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         localcontext = self.decimal.localcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         Overflow = self.decimal.Overflow | 
 |  | 
 |         xc = Context() | 
 |         xc.prec = 1 | 
 |         xc.Emax = 1 | 
 |         xc.Emin = -1 | 
 |  | 
 |         with localcontext() as c: | 
 |             c.clear_flags() | 
 |  | 
 |             self.assertEqual(D(9, xc), 9) | 
 |             self.assertEqual(D(9, context=xc), 9) | 
 |             self.assertEqual(D(context=xc, value=9), 9) | 
 |             self.assertEqual(D(context=xc), 0) | 
 |             xc.clear_flags() | 
 |             self.assertRaises(InvalidOperation, D, "xyz", context=xc) | 
 |             self.assertTrue(xc.flags[InvalidOperation]) | 
 |             self.assertFalse(c.flags[InvalidOperation]) | 
 |  | 
 |             xc.clear_flags() | 
 |             self.assertEqual(D(2).exp(context=xc), 7) | 
 |             self.assertRaises(Overflow, D(8).exp, context=xc) | 
 |             self.assertTrue(xc.flags[Overflow]) | 
 |             self.assertFalse(c.flags[Overflow]) | 
 |  | 
 |             xc.clear_flags() | 
 |             self.assertEqual(D(2).ln(context=xc), D('0.7')) | 
 |             self.assertRaises(InvalidOperation, D(-1).ln, context=xc) | 
 |             self.assertTrue(xc.flags[InvalidOperation]) | 
 |             self.assertFalse(c.flags[InvalidOperation]) | 
 |  | 
 |             self.assertEqual(D(0).log10(context=xc), D('-inf')) | 
 |             self.assertEqual(D(-1).next_minus(context=xc), -2) | 
 |             self.assertEqual(D(-1).next_plus(context=xc), D('-0.9')) | 
 |             self.assertEqual(D("9.73").normalize(context=xc), D('1E+1')) | 
 |             self.assertEqual(D("9999").to_integral(context=xc), 9999) | 
 |             self.assertEqual(D("-2000").to_integral_exact(context=xc), -2000) | 
 |             self.assertEqual(D("123").to_integral_value(context=xc), 123) | 
 |             self.assertEqual(D("0.0625").sqrt(context=xc), D('0.2')) | 
 |  | 
 |             self.assertEqual(D("0.0625").compare(context=xc, other=3), -1) | 
 |             xc.clear_flags() | 
 |             self.assertRaises(InvalidOperation, | 
 |                               D("0").compare_signal, D('nan'), context=xc) | 
 |             self.assertTrue(xc.flags[InvalidOperation]) | 
 |             self.assertFalse(c.flags[InvalidOperation]) | 
 |             self.assertEqual(D("0.01").max(D('0.0101'), context=xc), D('0.0')) | 
 |             self.assertEqual(D("0.01").max(D('0.0101'), context=xc), D('0.0')) | 
 |             self.assertEqual(D("0.2").max_mag(D('-0.3'), context=xc), | 
 |                              D('-0.3')) | 
 |             self.assertEqual(D("0.02").min(D('-0.03'), context=xc), D('-0.0')) | 
 |             self.assertEqual(D("0.02").min_mag(D('-0.03'), context=xc), | 
 |                              D('0.0')) | 
 |             self.assertEqual(D("0.2").next_toward(D('-1'), context=xc), D('0.1')) | 
 |             xc.clear_flags() | 
 |             self.assertRaises(InvalidOperation, | 
 |                               D("0.2").quantize, D('1e10'), context=xc) | 
 |             self.assertTrue(xc.flags[InvalidOperation]) | 
 |             self.assertFalse(c.flags[InvalidOperation]) | 
 |             self.assertEqual(D("9.99").remainder_near(D('1.5'), context=xc), | 
 |                              D('-0.5')) | 
 |  | 
 |             self.assertEqual(D("9.9").fma(third=D('0.9'), context=xc, other=7), | 
 |                              D('7E+1')) | 
 |  | 
 |             self.assertRaises(TypeError, D(1).is_canonical, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_finite, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_infinite, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_nan, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_qnan, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_snan, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_signed, context=xc) | 
 |             self.assertRaises(TypeError, D(1).is_zero, context=xc) | 
 |  | 
 |             self.assertFalse(D("0.01").is_normal(context=xc)) | 
 |             self.assertTrue(D("0.01").is_subnormal(context=xc)) | 
 |  | 
 |             self.assertRaises(TypeError, D(1).adjusted, context=xc) | 
 |             self.assertRaises(TypeError, D(1).conjugate, context=xc) | 
 |             self.assertRaises(TypeError, D(1).radix, context=xc) | 
 |  | 
 |             self.assertEqual(D(-111).logb(context=xc), 2) | 
 |             self.assertEqual(D(0).logical_invert(context=xc), 1) | 
 |             self.assertEqual(D('0.01').number_class(context=xc), '+Subnormal') | 
 |             self.assertEqual(D('0.21').to_eng_string(context=xc), '0.21') | 
 |  | 
 |             self.assertEqual(D('11').logical_and(D('10'), context=xc), 0) | 
 |             self.assertEqual(D('11').logical_or(D('10'), context=xc), 1) | 
 |             self.assertEqual(D('01').logical_xor(D('10'), context=xc), 1) | 
 |             self.assertEqual(D('23').rotate(1, context=xc), 3) | 
 |             self.assertEqual(D('23').rotate(1, context=xc), 3) | 
 |             xc.clear_flags() | 
 |             self.assertRaises(Overflow, | 
 |                               D('23').scaleb, 1, context=xc) | 
 |             self.assertTrue(xc.flags[Overflow]) | 
 |             self.assertFalse(c.flags[Overflow]) | 
 |             self.assertEqual(D('23').shift(-1, context=xc), 0) | 
 |  | 
 |             self.assertRaises(TypeError, D.from_float, 1.1, context=xc) | 
 |             self.assertRaises(TypeError, D(0).as_tuple, context=xc) | 
 |  | 
 |             self.assertEqual(D(1).canonical(), 1) | 
 |             self.assertRaises(TypeError, D("-1").copy_abs, context=xc) | 
 |             self.assertRaises(TypeError, D("-1").copy_negate, context=xc) | 
 |             self.assertRaises(TypeError, D(1).canonical, context="x") | 
 |             self.assertRaises(TypeError, D(1).canonical, xyz="x") | 
 |  | 
 |     def test_exception_hierarchy(self): | 
 |  | 
 |         decimal = self.decimal | 
 |         DecimalException = decimal.DecimalException | 
 |         InvalidOperation = decimal.InvalidOperation | 
 |         FloatOperation = decimal.FloatOperation | 
 |         DivisionByZero = decimal.DivisionByZero | 
 |         Overflow = decimal.Overflow | 
 |         Underflow = decimal.Underflow | 
 |         Subnormal = decimal.Subnormal | 
 |         Inexact = decimal.Inexact | 
 |         Rounded = decimal.Rounded | 
 |         Clamped = decimal.Clamped | 
 |  | 
 |         self.assertTrue(issubclass(DecimalException, ArithmeticError)) | 
 |  | 
 |         self.assertTrue(issubclass(InvalidOperation, DecimalException)) | 
 |         self.assertTrue(issubclass(FloatOperation, DecimalException)) | 
 |         self.assertTrue(issubclass(FloatOperation, TypeError)) | 
 |         self.assertTrue(issubclass(DivisionByZero, DecimalException)) | 
 |         self.assertTrue(issubclass(DivisionByZero, ZeroDivisionError)) | 
 |         self.assertTrue(issubclass(Overflow, Rounded)) | 
 |         self.assertTrue(issubclass(Overflow, Inexact)) | 
 |         self.assertTrue(issubclass(Overflow, DecimalException)) | 
 |         self.assertTrue(issubclass(Underflow, Inexact)) | 
 |         self.assertTrue(issubclass(Underflow, Rounded)) | 
 |         self.assertTrue(issubclass(Underflow, Subnormal)) | 
 |         self.assertTrue(issubclass(Underflow, DecimalException)) | 
 |  | 
 |         self.assertTrue(issubclass(Subnormal, DecimalException)) | 
 |         self.assertTrue(issubclass(Inexact, DecimalException)) | 
 |         self.assertTrue(issubclass(Rounded, DecimalException)) | 
 |         self.assertTrue(issubclass(Clamped, DecimalException)) | 
 |  | 
 |         self.assertTrue(issubclass(decimal.ConversionSyntax, InvalidOperation)) | 
 |         self.assertTrue(issubclass(decimal.DivisionImpossible, InvalidOperation)) | 
 |         self.assertTrue(issubclass(decimal.DivisionUndefined, InvalidOperation)) | 
 |         self.assertTrue(issubclass(decimal.DivisionUndefined, ZeroDivisionError)) | 
 |         self.assertTrue(issubclass(decimal.InvalidContext, InvalidOperation)) | 
 |  | 
 | class CPythonAPItests(PythonAPItests): | 
 |     decimal = C | 
 | class PyPythonAPItests(PythonAPItests): | 
 |     decimal = P | 
 |  | 
 | class ContextAPItests(unittest.TestCase): | 
 |  | 
 |     def test_none_args(self): | 
 |         Context = self.decimal.Context | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         DivisionByZero = self.decimal.DivisionByZero | 
 |         Overflow = self.decimal.Overflow | 
 |  | 
 |         c1 = Context() | 
 |         c2 = Context(prec=None, rounding=None, Emax=None, Emin=None, | 
 |                      capitals=None, clamp=None, flags=None, traps=None) | 
 |         for c in [c1, c2]: | 
 |             self.assertEqual(c.prec, 28) | 
 |             self.assertEqual(c.rounding, ROUND_HALF_EVEN) | 
 |             self.assertEqual(c.Emax, 999999) | 
 |             self.assertEqual(c.Emin, -999999) | 
 |             self.assertEqual(c.capitals, 1) | 
 |             self.assertEqual(c.clamp, 0) | 
 |             assert_signals(self, c, 'flags', []) | 
 |             assert_signals(self, c, 'traps', [InvalidOperation, DivisionByZero, | 
 |                                               Overflow]) | 
 |  | 
 |     @cpython_only | 
 |     def test_from_legacy_strings(self): | 
 |         import _testcapi | 
 |         c = self.decimal.Context() | 
 |  | 
 |         for rnd in RoundingModes: | 
 |             c.rounding = _testcapi.unicode_legacy_string(rnd) | 
 |             self.assertEqual(c.rounding, rnd) | 
 |  | 
 |         s = _testcapi.unicode_legacy_string('') | 
 |         self.assertRaises(TypeError, setattr, c, 'rounding', s) | 
 |  | 
 |         s = _testcapi.unicode_legacy_string('ROUND_\x00UP') | 
 |         self.assertRaises(TypeError, setattr, c, 'rounding', s) | 
 |  | 
 |     def test_pickle(self): | 
 |  | 
 |         Context = self.decimal.Context | 
 |  | 
 |         savedecimal = sys.modules['decimal'] | 
 |  | 
 |         # Round trip | 
 |         sys.modules['decimal'] = self.decimal | 
 |         c = Context() | 
 |         e = pickle.loads(pickle.dumps(c)) | 
 |  | 
 |         self.assertEqual(c.prec, e.prec) | 
 |         self.assertEqual(c.Emin, e.Emin) | 
 |         self.assertEqual(c.Emax, e.Emax) | 
 |         self.assertEqual(c.rounding, e.rounding) | 
 |         self.assertEqual(c.capitals, e.capitals) | 
 |         self.assertEqual(c.clamp, e.clamp) | 
 |         self.assertEqual(c.flags, e.flags) | 
 |         self.assertEqual(c.traps, e.traps) | 
 |  | 
 |         # Test interchangeability | 
 |         combinations = [(C, P), (P, C)] if C else [(P, P)] | 
 |         for dumper, loader in combinations: | 
 |             for ri, _ in enumerate(RoundingModes): | 
 |                 for fi, _ in enumerate(OrderedSignals[dumper]): | 
 |                     for ti, _ in enumerate(OrderedSignals[dumper]): | 
 |  | 
 |                         prec = random.randrange(1, 100) | 
 |                         emin = random.randrange(-100, 0) | 
 |                         emax = random.randrange(1, 100) | 
 |                         caps = random.randrange(2) | 
 |                         clamp = random.randrange(2) | 
 |  | 
 |                         # One module dumps | 
 |                         sys.modules['decimal'] = dumper | 
 |                         c = dumper.Context( | 
 |                               prec=prec, Emin=emin, Emax=emax, | 
 |                               rounding=RoundingModes[ri], | 
 |                               capitals=caps, clamp=clamp, | 
 |                               flags=OrderedSignals[dumper][:fi], | 
 |                               traps=OrderedSignals[dumper][:ti] | 
 |                         ) | 
 |                         s = pickle.dumps(c) | 
 |  | 
 |                         # The other module loads | 
 |                         sys.modules['decimal'] = loader | 
 |                         d = pickle.loads(s) | 
 |                         self.assertIsInstance(d, loader.Context) | 
 |  | 
 |                         self.assertEqual(d.prec, prec) | 
 |                         self.assertEqual(d.Emin, emin) | 
 |                         self.assertEqual(d.Emax, emax) | 
 |                         self.assertEqual(d.rounding, RoundingModes[ri]) | 
 |                         self.assertEqual(d.capitals, caps) | 
 |                         self.assertEqual(d.clamp, clamp) | 
 |                         assert_signals(self, d, 'flags', OrderedSignals[loader][:fi]) | 
 |                         assert_signals(self, d, 'traps', OrderedSignals[loader][:ti]) | 
 |  | 
 |         sys.modules['decimal'] = savedecimal | 
 |  | 
 |     def test_equality_with_other_types(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         self.assertIn(Decimal(10), ['a', 1.0, Decimal(10), (1,2), {}]) | 
 |         self.assertNotIn(Decimal(10), ['a', 1.0, (1,2), {}]) | 
 |  | 
 |     def test_copy(self): | 
 |         # All copies should be deep | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.copy() | 
 |         self.assertNotEqual(id(c), id(d)) | 
 |         self.assertNotEqual(id(c.flags), id(d.flags)) | 
 |         self.assertNotEqual(id(c.traps), id(d.traps)) | 
 |         k1 = set(c.flags.keys()) | 
 |         k2 = set(d.flags.keys()) | 
 |         self.assertEqual(k1, k2) | 
 |         self.assertEqual(c.flags, d.flags) | 
 |  | 
 |     def test__clamp(self): | 
 |         # In Python 3.2, the private attribute `_clamp` was made | 
 |         # public (issue 8540), with the old `_clamp` becoming a | 
 |         # property wrapping `clamp`.  For the duration of Python 3.2 | 
 |         # only, the attribute should be gettable/settable via both | 
 |         # `clamp` and `_clamp`; in Python 3.3, `_clamp` should be | 
 |         # removed. | 
 |         Context = self.decimal.Context | 
 |         c = Context() | 
 |         self.assertRaises(AttributeError, getattr, c, '_clamp') | 
 |  | 
 |     def test_abs(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.abs(Decimal(-1)) | 
 |         self.assertEqual(c.abs(-1), d) | 
 |         self.assertRaises(TypeError, c.abs, '-1') | 
 |  | 
 |     def test_add(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.add(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.add(1, 1), d) | 
 |         self.assertEqual(c.add(Decimal(1), 1), d) | 
 |         self.assertEqual(c.add(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.add, '1', 1) | 
 |         self.assertRaises(TypeError, c.add, 1, '1') | 
 |  | 
 |     def test_compare(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.compare(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.compare(1, 1), d) | 
 |         self.assertEqual(c.compare(Decimal(1), 1), d) | 
 |         self.assertEqual(c.compare(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.compare, '1', 1) | 
 |         self.assertRaises(TypeError, c.compare, 1, '1') | 
 |  | 
 |     def test_compare_signal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.compare_signal(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.compare_signal(1, 1), d) | 
 |         self.assertEqual(c.compare_signal(Decimal(1), 1), d) | 
 |         self.assertEqual(c.compare_signal(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.compare_signal, '1', 1) | 
 |         self.assertRaises(TypeError, c.compare_signal, 1, '1') | 
 |  | 
 |     def test_compare_total(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.compare_total(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.compare_total(1, 1), d) | 
 |         self.assertEqual(c.compare_total(Decimal(1), 1), d) | 
 |         self.assertEqual(c.compare_total(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.compare_total, '1', 1) | 
 |         self.assertRaises(TypeError, c.compare_total, 1, '1') | 
 |  | 
 |     def test_compare_total_mag(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.compare_total_mag(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.compare_total_mag(1, 1), d) | 
 |         self.assertEqual(c.compare_total_mag(Decimal(1), 1), d) | 
 |         self.assertEqual(c.compare_total_mag(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.compare_total_mag, '1', 1) | 
 |         self.assertRaises(TypeError, c.compare_total_mag, 1, '1') | 
 |  | 
 |     def test_copy_abs(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.copy_abs(Decimal(-1)) | 
 |         self.assertEqual(c.copy_abs(-1), d) | 
 |         self.assertRaises(TypeError, c.copy_abs, '-1') | 
 |  | 
 |     def test_copy_decimal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.copy_decimal(Decimal(-1)) | 
 |         self.assertEqual(c.copy_decimal(-1), d) | 
 |         self.assertRaises(TypeError, c.copy_decimal, '-1') | 
 |  | 
 |     def test_copy_negate(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.copy_negate(Decimal(-1)) | 
 |         self.assertEqual(c.copy_negate(-1), d) | 
 |         self.assertRaises(TypeError, c.copy_negate, '-1') | 
 |  | 
 |     def test_copy_sign(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.copy_sign(Decimal(1), Decimal(-2)) | 
 |         self.assertEqual(c.copy_sign(1, -2), d) | 
 |         self.assertEqual(c.copy_sign(Decimal(1), -2), d) | 
 |         self.assertEqual(c.copy_sign(1, Decimal(-2)), d) | 
 |         self.assertRaises(TypeError, c.copy_sign, '1', -2) | 
 |         self.assertRaises(TypeError, c.copy_sign, 1, '-2') | 
 |  | 
 |     def test_divide(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.divide(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.divide(1, 2), d) | 
 |         self.assertEqual(c.divide(Decimal(1), 2), d) | 
 |         self.assertEqual(c.divide(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.divide, '1', 2) | 
 |         self.assertRaises(TypeError, c.divide, 1, '2') | 
 |  | 
 |     def test_divide_int(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.divide_int(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.divide_int(1, 2), d) | 
 |         self.assertEqual(c.divide_int(Decimal(1), 2), d) | 
 |         self.assertEqual(c.divide_int(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.divide_int, '1', 2) | 
 |         self.assertRaises(TypeError, c.divide_int, 1, '2') | 
 |  | 
 |     def test_divmod(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.divmod(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.divmod(1, 2), d) | 
 |         self.assertEqual(c.divmod(Decimal(1), 2), d) | 
 |         self.assertEqual(c.divmod(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.divmod, '1', 2) | 
 |         self.assertRaises(TypeError, c.divmod, 1, '2') | 
 |  | 
 |     def test_exp(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.exp(Decimal(10)) | 
 |         self.assertEqual(c.exp(10), d) | 
 |         self.assertRaises(TypeError, c.exp, '10') | 
 |  | 
 |     def test_fma(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.fma(Decimal(2), Decimal(3), Decimal(4)) | 
 |         self.assertEqual(c.fma(2, 3, 4), d) | 
 |         self.assertEqual(c.fma(Decimal(2), 3, 4), d) | 
 |         self.assertEqual(c.fma(2, Decimal(3), 4), d) | 
 |         self.assertEqual(c.fma(2, 3, Decimal(4)), d) | 
 |         self.assertEqual(c.fma(Decimal(2), Decimal(3), 4), d) | 
 |         self.assertRaises(TypeError, c.fma, '2', 3, 4) | 
 |         self.assertRaises(TypeError, c.fma, 2, '3', 4) | 
 |         self.assertRaises(TypeError, c.fma, 2, 3, '4') | 
 |  | 
 |         # Issue 12079 for Context.fma ... | 
 |         self.assertRaises(TypeError, c.fma, | 
 |                           Decimal('Infinity'), Decimal(0), "not a decimal") | 
 |         self.assertRaises(TypeError, c.fma, | 
 |                           Decimal(1), Decimal('snan'), 1.222) | 
 |         # ... and for Decimal.fma. | 
 |         self.assertRaises(TypeError, Decimal('Infinity').fma, | 
 |                           Decimal(0), "not a decimal") | 
 |         self.assertRaises(TypeError, Decimal(1).fma, | 
 |                           Decimal('snan'), 1.222) | 
 |  | 
 |     def test_is_finite(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_finite(Decimal(10)) | 
 |         self.assertEqual(c.is_finite(10), d) | 
 |         self.assertRaises(TypeError, c.is_finite, '10') | 
 |  | 
 |     def test_is_infinite(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_infinite(Decimal(10)) | 
 |         self.assertEqual(c.is_infinite(10), d) | 
 |         self.assertRaises(TypeError, c.is_infinite, '10') | 
 |  | 
 |     def test_is_nan(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_nan(Decimal(10)) | 
 |         self.assertEqual(c.is_nan(10), d) | 
 |         self.assertRaises(TypeError, c.is_nan, '10') | 
 |  | 
 |     def test_is_normal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_normal(Decimal(10)) | 
 |         self.assertEqual(c.is_normal(10), d) | 
 |         self.assertRaises(TypeError, c.is_normal, '10') | 
 |  | 
 |     def test_is_qnan(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_qnan(Decimal(10)) | 
 |         self.assertEqual(c.is_qnan(10), d) | 
 |         self.assertRaises(TypeError, c.is_qnan, '10') | 
 |  | 
 |     def test_is_signed(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_signed(Decimal(10)) | 
 |         self.assertEqual(c.is_signed(10), d) | 
 |         self.assertRaises(TypeError, c.is_signed, '10') | 
 |  | 
 |     def test_is_snan(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_snan(Decimal(10)) | 
 |         self.assertEqual(c.is_snan(10), d) | 
 |         self.assertRaises(TypeError, c.is_snan, '10') | 
 |  | 
 |     def test_is_subnormal(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_subnormal(Decimal(10)) | 
 |         self.assertEqual(c.is_subnormal(10), d) | 
 |         self.assertRaises(TypeError, c.is_subnormal, '10') | 
 |  | 
 |     def test_is_zero(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.is_zero(Decimal(10)) | 
 |         self.assertEqual(c.is_zero(10), d) | 
 |         self.assertRaises(TypeError, c.is_zero, '10') | 
 |  | 
 |     def test_ln(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.ln(Decimal(10)) | 
 |         self.assertEqual(c.ln(10), d) | 
 |         self.assertRaises(TypeError, c.ln, '10') | 
 |  | 
 |     def test_log10(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.log10(Decimal(10)) | 
 |         self.assertEqual(c.log10(10), d) | 
 |         self.assertRaises(TypeError, c.log10, '10') | 
 |  | 
 |     def test_logb(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.logb(Decimal(10)) | 
 |         self.assertEqual(c.logb(10), d) | 
 |         self.assertRaises(TypeError, c.logb, '10') | 
 |  | 
 |     def test_logical_and(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.logical_and(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.logical_and(1, 1), d) | 
 |         self.assertEqual(c.logical_and(Decimal(1), 1), d) | 
 |         self.assertEqual(c.logical_and(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.logical_and, '1', 1) | 
 |         self.assertRaises(TypeError, c.logical_and, 1, '1') | 
 |  | 
 |     def test_logical_invert(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.logical_invert(Decimal(1000)) | 
 |         self.assertEqual(c.logical_invert(1000), d) | 
 |         self.assertRaises(TypeError, c.logical_invert, '1000') | 
 |  | 
 |     def test_logical_or(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.logical_or(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.logical_or(1, 1), d) | 
 |         self.assertEqual(c.logical_or(Decimal(1), 1), d) | 
 |         self.assertEqual(c.logical_or(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.logical_or, '1', 1) | 
 |         self.assertRaises(TypeError, c.logical_or, 1, '1') | 
 |  | 
 |     def test_logical_xor(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.logical_xor(Decimal(1), Decimal(1)) | 
 |         self.assertEqual(c.logical_xor(1, 1), d) | 
 |         self.assertEqual(c.logical_xor(Decimal(1), 1), d) | 
 |         self.assertEqual(c.logical_xor(1, Decimal(1)), d) | 
 |         self.assertRaises(TypeError, c.logical_xor, '1', 1) | 
 |         self.assertRaises(TypeError, c.logical_xor, 1, '1') | 
 |  | 
 |     def test_max(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.max(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.max(1, 2), d) | 
 |         self.assertEqual(c.max(Decimal(1), 2), d) | 
 |         self.assertEqual(c.max(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.max, '1', 2) | 
 |         self.assertRaises(TypeError, c.max, 1, '2') | 
 |  | 
 |     def test_max_mag(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.max_mag(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.max_mag(1, 2), d) | 
 |         self.assertEqual(c.max_mag(Decimal(1), 2), d) | 
 |         self.assertEqual(c.max_mag(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.max_mag, '1', 2) | 
 |         self.assertRaises(TypeError, c.max_mag, 1, '2') | 
 |  | 
 |     def test_min(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.min(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.min(1, 2), d) | 
 |         self.assertEqual(c.min(Decimal(1), 2), d) | 
 |         self.assertEqual(c.min(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.min, '1', 2) | 
 |         self.assertRaises(TypeError, c.min, 1, '2') | 
 |  | 
 |     def test_min_mag(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.min_mag(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.min_mag(1, 2), d) | 
 |         self.assertEqual(c.min_mag(Decimal(1), 2), d) | 
 |         self.assertEqual(c.min_mag(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.min_mag, '1', 2) | 
 |         self.assertRaises(TypeError, c.min_mag, 1, '2') | 
 |  | 
 |     def test_minus(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.minus(Decimal(10)) | 
 |         self.assertEqual(c.minus(10), d) | 
 |         self.assertRaises(TypeError, c.minus, '10') | 
 |  | 
 |     def test_multiply(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.multiply(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.multiply(1, 2), d) | 
 |         self.assertEqual(c.multiply(Decimal(1), 2), d) | 
 |         self.assertEqual(c.multiply(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.multiply, '1', 2) | 
 |         self.assertRaises(TypeError, c.multiply, 1, '2') | 
 |  | 
 |     def test_next_minus(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.next_minus(Decimal(10)) | 
 |         self.assertEqual(c.next_minus(10), d) | 
 |         self.assertRaises(TypeError, c.next_minus, '10') | 
 |  | 
 |     def test_next_plus(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.next_plus(Decimal(10)) | 
 |         self.assertEqual(c.next_plus(10), d) | 
 |         self.assertRaises(TypeError, c.next_plus, '10') | 
 |  | 
 |     def test_next_toward(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.next_toward(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.next_toward(1, 2), d) | 
 |         self.assertEqual(c.next_toward(Decimal(1), 2), d) | 
 |         self.assertEqual(c.next_toward(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.next_toward, '1', 2) | 
 |         self.assertRaises(TypeError, c.next_toward, 1, '2') | 
 |  | 
 |     def test_normalize(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.normalize(Decimal(10)) | 
 |         self.assertEqual(c.normalize(10), d) | 
 |         self.assertRaises(TypeError, c.normalize, '10') | 
 |  | 
 |     def test_number_class(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         self.assertEqual(c.number_class(123), c.number_class(Decimal(123))) | 
 |         self.assertEqual(c.number_class(0), c.number_class(Decimal(0))) | 
 |         self.assertEqual(c.number_class(-45), c.number_class(Decimal(-45))) | 
 |  | 
 |     def test_plus(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.plus(Decimal(10)) | 
 |         self.assertEqual(c.plus(10), d) | 
 |         self.assertRaises(TypeError, c.plus, '10') | 
 |  | 
 |     def test_power(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.power(Decimal(1), Decimal(4)) | 
 |         self.assertEqual(c.power(1, 4), d) | 
 |         self.assertEqual(c.power(Decimal(1), 4), d) | 
 |         self.assertEqual(c.power(1, Decimal(4)), d) | 
 |         self.assertEqual(c.power(Decimal(1), Decimal(4)), d) | 
 |         self.assertRaises(TypeError, c.power, '1', 4) | 
 |         self.assertRaises(TypeError, c.power, 1, '4') | 
 |         self.assertEqual(c.power(modulo=5, b=8, a=2), 1) | 
 |  | 
 |     def test_quantize(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.quantize(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.quantize(1, 2), d) | 
 |         self.assertEqual(c.quantize(Decimal(1), 2), d) | 
 |         self.assertEqual(c.quantize(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.quantize, '1', 2) | 
 |         self.assertRaises(TypeError, c.quantize, 1, '2') | 
 |  | 
 |     def test_remainder(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.remainder(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.remainder(1, 2), d) | 
 |         self.assertEqual(c.remainder(Decimal(1), 2), d) | 
 |         self.assertEqual(c.remainder(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.remainder, '1', 2) | 
 |         self.assertRaises(TypeError, c.remainder, 1, '2') | 
 |  | 
 |     def test_remainder_near(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.remainder_near(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.remainder_near(1, 2), d) | 
 |         self.assertEqual(c.remainder_near(Decimal(1), 2), d) | 
 |         self.assertEqual(c.remainder_near(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.remainder_near, '1', 2) | 
 |         self.assertRaises(TypeError, c.remainder_near, 1, '2') | 
 |  | 
 |     def test_rotate(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.rotate(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.rotate(1, 2), d) | 
 |         self.assertEqual(c.rotate(Decimal(1), 2), d) | 
 |         self.assertEqual(c.rotate(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.rotate, '1', 2) | 
 |         self.assertRaises(TypeError, c.rotate, 1, '2') | 
 |  | 
 |     def test_sqrt(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.sqrt(Decimal(10)) | 
 |         self.assertEqual(c.sqrt(10), d) | 
 |         self.assertRaises(TypeError, c.sqrt, '10') | 
 |  | 
 |     def test_same_quantum(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.same_quantum(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.same_quantum(1, 2), d) | 
 |         self.assertEqual(c.same_quantum(Decimal(1), 2), d) | 
 |         self.assertEqual(c.same_quantum(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.same_quantum, '1', 2) | 
 |         self.assertRaises(TypeError, c.same_quantum, 1, '2') | 
 |  | 
 |     def test_scaleb(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.scaleb(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.scaleb(1, 2), d) | 
 |         self.assertEqual(c.scaleb(Decimal(1), 2), d) | 
 |         self.assertEqual(c.scaleb(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.scaleb, '1', 2) | 
 |         self.assertRaises(TypeError, c.scaleb, 1, '2') | 
 |  | 
 |     def test_shift(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.shift(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.shift(1, 2), d) | 
 |         self.assertEqual(c.shift(Decimal(1), 2), d) | 
 |         self.assertEqual(c.shift(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.shift, '1', 2) | 
 |         self.assertRaises(TypeError, c.shift, 1, '2') | 
 |  | 
 |     def test_subtract(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.subtract(Decimal(1), Decimal(2)) | 
 |         self.assertEqual(c.subtract(1, 2), d) | 
 |         self.assertEqual(c.subtract(Decimal(1), 2), d) | 
 |         self.assertEqual(c.subtract(1, Decimal(2)), d) | 
 |         self.assertRaises(TypeError, c.subtract, '1', 2) | 
 |         self.assertRaises(TypeError, c.subtract, 1, '2') | 
 |  | 
 |     def test_to_eng_string(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.to_eng_string(Decimal(10)) | 
 |         self.assertEqual(c.to_eng_string(10), d) | 
 |         self.assertRaises(TypeError, c.to_eng_string, '10') | 
 |  | 
 |     def test_to_sci_string(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.to_sci_string(Decimal(10)) | 
 |         self.assertEqual(c.to_sci_string(10), d) | 
 |         self.assertRaises(TypeError, c.to_sci_string, '10') | 
 |  | 
 |     def test_to_integral_exact(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.to_integral_exact(Decimal(10)) | 
 |         self.assertEqual(c.to_integral_exact(10), d) | 
 |         self.assertRaises(TypeError, c.to_integral_exact, '10') | 
 |  | 
 |     def test_to_integral_value(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         d = c.to_integral_value(Decimal(10)) | 
 |         self.assertEqual(c.to_integral_value(10), d) | 
 |         self.assertRaises(TypeError, c.to_integral_value, '10') | 
 |         self.assertRaises(TypeError, c.to_integral_value, 10, 'x') | 
 |  | 
 | class CContextAPItests(ContextAPItests): | 
 |     decimal = C | 
 | class PyContextAPItests(ContextAPItests): | 
 |     decimal = P | 
 |  | 
 | class ContextWithStatement(unittest.TestCase): | 
 |     # Can't do these as docstrings until Python 2.6 | 
 |     # as doctest can't handle __future__ statements | 
 |  | 
 |     def test_localcontext(self): | 
 |         # Use a copy of the current context in the block | 
 |         getcontext = self.decimal.getcontext | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         orig_ctx = getcontext() | 
 |         with localcontext() as enter_ctx: | 
 |             set_ctx = getcontext() | 
 |         final_ctx = getcontext() | 
 |         self.assertIs(orig_ctx, final_ctx, 'did not restore context correctly') | 
 |         self.assertIsNot(orig_ctx, set_ctx, 'did not copy the context') | 
 |         self.assertIs(set_ctx, enter_ctx, '__enter__ returned wrong context') | 
 |  | 
 |     def test_localcontextarg(self): | 
 |         # Use a copy of the supplied context in the block | 
 |         Context = self.decimal.Context | 
 |         getcontext = self.decimal.getcontext | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         localcontext = self.decimal.localcontext | 
 |         orig_ctx = getcontext() | 
 |         new_ctx = Context(prec=42) | 
 |         with localcontext(new_ctx) as enter_ctx: | 
 |             set_ctx = getcontext() | 
 |         final_ctx = getcontext() | 
 |         self.assertIs(orig_ctx, final_ctx, 'did not restore context correctly') | 
 |         self.assertEqual(set_ctx.prec, new_ctx.prec, 'did not set correct context') | 
 |         self.assertIsNot(new_ctx, set_ctx, 'did not copy the context') | 
 |         self.assertIs(set_ctx, enter_ctx, '__enter__ returned wrong context') | 
 |  | 
 |     def test_nested_with_statements(self): | 
 |         # Use a copy of the supplied context in the block | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         getcontext = self.decimal.getcontext | 
 |         localcontext = self.decimal.localcontext | 
 |         Clamped = self.decimal.Clamped | 
 |         Overflow = self.decimal.Overflow | 
 |  | 
 |         orig_ctx = getcontext() | 
 |         orig_ctx.clear_flags() | 
 |         new_ctx = Context(Emax=384) | 
 |         with localcontext() as c1: | 
 |             self.assertEqual(c1.flags, orig_ctx.flags) | 
 |             self.assertEqual(c1.traps, orig_ctx.traps) | 
 |             c1.traps[Clamped] = True | 
 |             c1.Emin = -383 | 
 |             self.assertNotEqual(orig_ctx.Emin, -383) | 
 |             self.assertRaises(Clamped, c1.create_decimal, '0e-999') | 
 |             self.assertTrue(c1.flags[Clamped]) | 
 |             with localcontext(new_ctx) as c2: | 
 |                 self.assertEqual(c2.flags, new_ctx.flags) | 
 |                 self.assertEqual(c2.traps, new_ctx.traps) | 
 |                 self.assertRaises(Overflow, c2.power, Decimal('3.4e200'), 2) | 
 |                 self.assertFalse(c2.flags[Clamped]) | 
 |                 self.assertTrue(c2.flags[Overflow]) | 
 |                 del c2 | 
 |             self.assertFalse(c1.flags[Overflow]) | 
 |             del c1 | 
 |         self.assertNotEqual(orig_ctx.Emin, -383) | 
 |         self.assertFalse(orig_ctx.flags[Clamped]) | 
 |         self.assertFalse(orig_ctx.flags[Overflow]) | 
 |         self.assertFalse(new_ctx.flags[Clamped]) | 
 |         self.assertFalse(new_ctx.flags[Overflow]) | 
 |  | 
 |     def test_with_statements_gc1(self): | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         with localcontext() as c1: | 
 |             del c1 | 
 |             with localcontext() as c2: | 
 |                 del c2 | 
 |                 with localcontext() as c3: | 
 |                     del c3 | 
 |                     with localcontext() as c4: | 
 |                         del c4 | 
 |  | 
 |     def test_with_statements_gc2(self): | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         with localcontext() as c1: | 
 |             with localcontext(c1) as c2: | 
 |                 del c1 | 
 |                 with localcontext(c2) as c3: | 
 |                     del c2 | 
 |                     with localcontext(c3) as c4: | 
 |                         del c3 | 
 |                         del c4 | 
 |  | 
 |     def test_with_statements_gc3(self): | 
 |         Context = self.decimal.Context | 
 |         localcontext = self.decimal.localcontext | 
 |         getcontext = self.decimal.getcontext | 
 |         setcontext = self.decimal.setcontext | 
 |  | 
 |         with localcontext() as c1: | 
 |             del c1 | 
 |             n1 = Context(prec=1) | 
 |             setcontext(n1) | 
 |             with localcontext(n1) as c2: | 
 |                 del n1 | 
 |                 self.assertEqual(c2.prec, 1) | 
 |                 del c2 | 
 |                 n2 = Context(prec=2) | 
 |                 setcontext(n2) | 
 |                 del n2 | 
 |                 self.assertEqual(getcontext().prec, 2) | 
 |                 n3 = Context(prec=3) | 
 |                 setcontext(n3) | 
 |                 self.assertEqual(getcontext().prec, 3) | 
 |                 with localcontext(n3) as c3: | 
 |                     del n3 | 
 |                     self.assertEqual(c3.prec, 3) | 
 |                     del c3 | 
 |                     n4 = Context(prec=4) | 
 |                     setcontext(n4) | 
 |                     del n4 | 
 |                     self.assertEqual(getcontext().prec, 4) | 
 |                     with localcontext() as c4: | 
 |                         self.assertEqual(c4.prec, 4) | 
 |                         del c4 | 
 |  | 
 | class CContextWithStatement(ContextWithStatement): | 
 |     decimal = C | 
 | class PyContextWithStatement(ContextWithStatement): | 
 |     decimal = P | 
 |  | 
 | class ContextFlags(unittest.TestCase): | 
 |  | 
 |     def test_flags_irrelevant(self): | 
 |         # check that the result (numeric result + flags raised) of an | 
 |         # arithmetic operation doesn't depend on the current flags | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         Inexact = self.decimal.Inexact | 
 |         Rounded = self.decimal.Rounded | 
 |         Underflow = self.decimal.Underflow | 
 |         Clamped = self.decimal.Clamped | 
 |         Subnormal = self.decimal.Subnormal | 
 |  | 
 |         def raise_error(context, flag): | 
 |             if self.decimal == C: | 
 |                 context.flags[flag] = True | 
 |                 if context.traps[flag]: | 
 |                     raise flag | 
 |             else: | 
 |                 context._raise_error(flag) | 
 |  | 
 |         context = Context(prec=9, Emin = -425000000, Emax = 425000000, | 
 |                           rounding=ROUND_HALF_EVEN, traps=[], flags=[]) | 
 |  | 
 |         # operations that raise various flags, in the form (function, arglist) | 
 |         operations = [ | 
 |             (context._apply, [Decimal("100E-425000010")]), | 
 |             (context.sqrt, [Decimal(2)]), | 
 |             (context.add, [Decimal("1.23456789"), Decimal("9.87654321")]), | 
 |             (context.multiply, [Decimal("1.23456789"), Decimal("9.87654321")]), | 
 |             (context.subtract, [Decimal("1.23456789"), Decimal("9.87654321")]), | 
 |             ] | 
 |  | 
 |         # try various flags individually, then a whole lot at once | 
 |         flagsets = [[Inexact], [Rounded], [Underflow], [Clamped], [Subnormal], | 
 |                     [Inexact, Rounded, Underflow, Clamped, Subnormal]] | 
 |  | 
 |         for fn, args in operations: | 
 |             # find answer and flags raised using a clean context | 
 |             context.clear_flags() | 
 |             ans = fn(*args) | 
 |             flags = [k for k, v in context.flags.items() if v] | 
 |  | 
 |             for extra_flags in flagsets: | 
 |                 # set flags, before calling operation | 
 |                 context.clear_flags() | 
 |                 for flag in extra_flags: | 
 |                     raise_error(context, flag) | 
 |                 new_ans = fn(*args) | 
 |  | 
 |                 # flags that we expect to be set after the operation | 
 |                 expected_flags = list(flags) | 
 |                 for flag in extra_flags: | 
 |                     if flag not in expected_flags: | 
 |                         expected_flags.append(flag) | 
 |                 expected_flags.sort(key=id) | 
 |  | 
 |                 # flags we actually got | 
 |                 new_flags = [k for k,v in context.flags.items() if v] | 
 |                 new_flags.sort(key=id) | 
 |  | 
 |                 self.assertEqual(ans, new_ans, | 
 |                                  "operation produces different answers depending on flags set: " + | 
 |                                  "expected %s, got %s." % (ans, new_ans)) | 
 |                 self.assertEqual(new_flags, expected_flags, | 
 |                                   "operation raises different flags depending on flags set: " + | 
 |                                   "expected %s, got %s" % (expected_flags, new_flags)) | 
 |  | 
 |     def test_flag_comparisons(self): | 
 |         Context = self.decimal.Context | 
 |         Inexact = self.decimal.Inexact | 
 |         Rounded = self.decimal.Rounded | 
 |  | 
 |         c = Context() | 
 |  | 
 |         # Valid SignalDict | 
 |         self.assertNotEqual(c.flags, c.traps) | 
 |         self.assertNotEqual(c.traps, c.flags) | 
 |  | 
 |         c.flags = c.traps | 
 |         self.assertEqual(c.flags, c.traps) | 
 |         self.assertEqual(c.traps, c.flags) | 
 |  | 
 |         c.flags[Rounded] = True | 
 |         c.traps = c.flags | 
 |         self.assertEqual(c.flags, c.traps) | 
 |         self.assertEqual(c.traps, c.flags) | 
 |  | 
 |         d = {} | 
 |         d.update(c.flags) | 
 |         self.assertEqual(d, c.flags) | 
 |         self.assertEqual(c.flags, d) | 
 |  | 
 |         d[Inexact] = True | 
 |         self.assertNotEqual(d, c.flags) | 
 |         self.assertNotEqual(c.flags, d) | 
 |  | 
 |         # Invalid SignalDict | 
 |         d = {Inexact:False} | 
 |         self.assertNotEqual(d, c.flags) | 
 |         self.assertNotEqual(c.flags, d) | 
 |  | 
 |         d = ["xyz"] | 
 |         self.assertNotEqual(d, c.flags) | 
 |         self.assertNotEqual(c.flags, d) | 
 |  | 
 |     @requires_IEEE_754 | 
 |     def test_float_operation(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         FloatOperation = self.decimal.FloatOperation | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         with localcontext() as c: | 
 |             ##### trap is off by default | 
 |             self.assertFalse(c.traps[FloatOperation]) | 
 |  | 
 |             # implicit conversion sets the flag | 
 |             c.clear_flags() | 
 |             self.assertEqual(Decimal(7.5), 7.5) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertEqual(c.create_decimal(7.5), 7.5) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             # explicit conversion does not set the flag | 
 |             c.clear_flags() | 
 |             x = Decimal.from_float(7.5) | 
 |             self.assertFalse(c.flags[FloatOperation]) | 
 |             # comparison sets the flag | 
 |             self.assertEqual(x, 7.5) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             x = c.create_decimal_from_float(7.5) | 
 |             self.assertFalse(c.flags[FloatOperation]) | 
 |             self.assertEqual(x, 7.5) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             ##### set the trap | 
 |             c.traps[FloatOperation] = True | 
 |  | 
 |             # implicit conversion raises | 
 |             c.clear_flags() | 
 |             self.assertRaises(FloatOperation, Decimal, 7.5) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             self.assertRaises(FloatOperation, c.create_decimal, 7.5) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             # explicit conversion is silent | 
 |             c.clear_flags() | 
 |             x = Decimal.from_float(7.5) | 
 |             self.assertFalse(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             x = c.create_decimal_from_float(7.5) | 
 |             self.assertFalse(c.flags[FloatOperation]) | 
 |  | 
 |     def test_float_comparison(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         FloatOperation = self.decimal.FloatOperation | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         def assert_attr(a, b, attr, context, signal=None): | 
 |             context.clear_flags() | 
 |             f = getattr(a, attr) | 
 |             if signal == FloatOperation: | 
 |                 self.assertRaises(signal, f, b) | 
 |             else: | 
 |                 self.assertIs(f(b), True) | 
 |             self.assertTrue(context.flags[FloatOperation]) | 
 |  | 
 |         small_d = Decimal('0.25') | 
 |         big_d = Decimal('3.0') | 
 |         small_f = 0.25 | 
 |         big_f = 3.0 | 
 |  | 
 |         zero_d = Decimal('0.0') | 
 |         neg_zero_d = Decimal('-0.0') | 
 |         zero_f = 0.0 | 
 |         neg_zero_f = -0.0 | 
 |  | 
 |         inf_d = Decimal('Infinity') | 
 |         neg_inf_d = Decimal('-Infinity') | 
 |         inf_f = float('inf') | 
 |         neg_inf_f = float('-inf') | 
 |  | 
 |         def doit(c, signal=None): | 
 |             # Order | 
 |             for attr in '__lt__', '__le__': | 
 |                 assert_attr(small_d, big_f, attr, c, signal) | 
 |  | 
 |             for attr in '__gt__', '__ge__': | 
 |                 assert_attr(big_d, small_f, attr, c, signal) | 
 |  | 
 |             # Equality | 
 |             assert_attr(small_d, small_f, '__eq__', c, None) | 
 |  | 
 |             assert_attr(neg_zero_d, neg_zero_f, '__eq__', c, None) | 
 |             assert_attr(neg_zero_d, zero_f, '__eq__', c, None) | 
 |  | 
 |             assert_attr(zero_d, neg_zero_f, '__eq__', c, None) | 
 |             assert_attr(zero_d, zero_f, '__eq__', c, None) | 
 |  | 
 |             assert_attr(neg_inf_d, neg_inf_f, '__eq__', c, None) | 
 |             assert_attr(inf_d, inf_f, '__eq__', c, None) | 
 |  | 
 |             # Inequality | 
 |             assert_attr(small_d, big_f, '__ne__', c, None) | 
 |  | 
 |             assert_attr(Decimal('0.1'), 0.1, '__ne__', c, None) | 
 |  | 
 |             assert_attr(neg_inf_d, inf_f, '__ne__', c, None) | 
 |             assert_attr(inf_d, neg_inf_f, '__ne__', c, None) | 
 |  | 
 |             assert_attr(Decimal('NaN'), float('nan'), '__ne__', c, None) | 
 |  | 
 |         def test_containers(c, signal=None): | 
 |             c.clear_flags() | 
 |             s = set([100.0, Decimal('100.0')]) | 
 |             self.assertEqual(len(s), 1) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             if signal: | 
 |                 self.assertRaises(signal, sorted, [1.0, Decimal('10.0')]) | 
 |             else: | 
 |                 s = sorted([10.0, Decimal('10.0')]) | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             b = 10.0 in [Decimal('10.0'), 1.0] | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             b = 10.0 in {Decimal('10.0'):'a', 1.0:'b'} | 
 |             self.assertTrue(c.flags[FloatOperation]) | 
 |  | 
 |         nc = Context() | 
 |         with localcontext(nc) as c: | 
 |             self.assertFalse(c.traps[FloatOperation]) | 
 |             doit(c, signal=None) | 
 |             test_containers(c, signal=None) | 
 |  | 
 |             c.traps[FloatOperation] = True | 
 |             doit(c, signal=FloatOperation) | 
 |             test_containers(c, signal=FloatOperation) | 
 |  | 
 |     def test_float_operation_default(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         Context = self.decimal.Context | 
 |         Inexact = self.decimal.Inexact | 
 |         FloatOperation= self.decimal.FloatOperation | 
 |  | 
 |         context = Context() | 
 |         self.assertFalse(context.flags[FloatOperation]) | 
 |         self.assertFalse(context.traps[FloatOperation]) | 
 |  | 
 |         context.clear_traps() | 
 |         context.traps[Inexact] = True | 
 |         context.traps[FloatOperation] = True | 
 |         self.assertTrue(context.traps[FloatOperation]) | 
 |         self.assertTrue(context.traps[Inexact]) | 
 |  | 
 | class CContextFlags(ContextFlags): | 
 |     decimal = C | 
 | class PyContextFlags(ContextFlags): | 
 |     decimal = P | 
 |  | 
 | class SpecialContexts(unittest.TestCase): | 
 |     """Test the context templates.""" | 
 |  | 
 |     def test_context_templates(self): | 
 |         BasicContext = self.decimal.BasicContext | 
 |         ExtendedContext = self.decimal.ExtendedContext | 
 |         getcontext = self.decimal.getcontext | 
 |         setcontext = self.decimal.setcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         DivisionByZero = self.decimal.DivisionByZero | 
 |         Overflow = self.decimal.Overflow | 
 |         Underflow = self.decimal.Underflow | 
 |         Clamped = self.decimal.Clamped | 
 |  | 
 |         assert_signals(self, BasicContext, 'traps', | 
 |             [InvalidOperation, DivisionByZero, Overflow, Underflow, Clamped] | 
 |         ) | 
 |  | 
 |         savecontext = getcontext().copy() | 
 |         basic_context_prec = BasicContext.prec | 
 |         extended_context_prec = ExtendedContext.prec | 
 |  | 
 |         ex = None | 
 |         try: | 
 |             BasicContext.prec = ExtendedContext.prec = 441 | 
 |             for template in BasicContext, ExtendedContext: | 
 |                 setcontext(template) | 
 |                 c = getcontext() | 
 |                 self.assertIsNot(c, template) | 
 |                 self.assertEqual(c.prec, 441) | 
 |         except Exception as e: | 
 |             ex = e.__class__ | 
 |         finally: | 
 |             BasicContext.prec = basic_context_prec | 
 |             ExtendedContext.prec = extended_context_prec | 
 |             setcontext(savecontext) | 
 |             if ex: | 
 |                 raise ex | 
 |  | 
 |     def test_default_context(self): | 
 |         DefaultContext = self.decimal.DefaultContext | 
 |         BasicContext = self.decimal.BasicContext | 
 |         ExtendedContext = self.decimal.ExtendedContext | 
 |         getcontext = self.decimal.getcontext | 
 |         setcontext = self.decimal.setcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         DivisionByZero = self.decimal.DivisionByZero | 
 |         Overflow = self.decimal.Overflow | 
 |  | 
 |         self.assertEqual(BasicContext.prec, 9) | 
 |         self.assertEqual(ExtendedContext.prec, 9) | 
 |  | 
 |         assert_signals(self, DefaultContext, 'traps', | 
 |             [InvalidOperation, DivisionByZero, Overflow] | 
 |         ) | 
 |  | 
 |         savecontext = getcontext().copy() | 
 |         default_context_prec = DefaultContext.prec | 
 |  | 
 |         ex = None | 
 |         try: | 
 |             c = getcontext() | 
 |             saveprec = c.prec | 
 |  | 
 |             DefaultContext.prec = 961 | 
 |             c = getcontext() | 
 |             self.assertEqual(c.prec, saveprec) | 
 |  | 
 |             setcontext(DefaultContext) | 
 |             c = getcontext() | 
 |             self.assertIsNot(c, DefaultContext) | 
 |             self.assertEqual(c.prec, 961) | 
 |         except Exception as e: | 
 |             ex = e.__class__ | 
 |         finally: | 
 |             DefaultContext.prec = default_context_prec | 
 |             setcontext(savecontext) | 
 |             if ex: | 
 |                 raise ex | 
 |  | 
 | class CSpecialContexts(SpecialContexts): | 
 |     decimal = C | 
 | class PySpecialContexts(SpecialContexts): | 
 |     decimal = P | 
 |  | 
 | class ContextInputValidation(unittest.TestCase): | 
 |  | 
 |     def test_invalid_context(self): | 
 |         Context = self.decimal.Context | 
 |         DefaultContext = self.decimal.DefaultContext | 
 |  | 
 |         c = DefaultContext.copy() | 
 |  | 
 |         # prec, Emax | 
 |         for attr in ['prec', 'Emax']: | 
 |             setattr(c, attr, 999999) | 
 |             self.assertEqual(getattr(c, attr), 999999) | 
 |             self.assertRaises(ValueError, setattr, c, attr, -1) | 
 |             self.assertRaises(TypeError, setattr, c, attr, 'xyz') | 
 |  | 
 |         # Emin | 
 |         setattr(c, 'Emin', -999999) | 
 |         self.assertEqual(getattr(c, 'Emin'), -999999) | 
 |         self.assertRaises(ValueError, setattr, c, 'Emin', 1) | 
 |         self.assertRaises(TypeError, setattr, c, 'Emin', (1,2,3)) | 
 |  | 
 |         self.assertRaises(TypeError, setattr, c, 'rounding', -1) | 
 |         self.assertRaises(TypeError, setattr, c, 'rounding', 9) | 
 |         self.assertRaises(TypeError, setattr, c, 'rounding', 1.0) | 
 |         self.assertRaises(TypeError, setattr, c, 'rounding', 'xyz') | 
 |  | 
 |         # capitals, clamp | 
 |         for attr in ['capitals', 'clamp']: | 
 |             self.assertRaises(ValueError, setattr, c, attr, -1) | 
 |             self.assertRaises(ValueError, setattr, c, attr, 2) | 
 |             self.assertRaises(TypeError, setattr, c, attr, [1,2,3]) | 
 |  | 
 |         # Invalid attribute | 
 |         self.assertRaises(AttributeError, setattr, c, 'emax', 100) | 
 |  | 
 |         # Invalid signal dict | 
 |         self.assertRaises(TypeError, setattr, c, 'flags', []) | 
 |         self.assertRaises(KeyError, setattr, c, 'flags', {}) | 
 |         self.assertRaises(KeyError, setattr, c, 'traps', | 
 |                           {'InvalidOperation':0}) | 
 |  | 
 |         # Attributes cannot be deleted | 
 |         for attr in ['prec', 'Emax', 'Emin', 'rounding', 'capitals', 'clamp', | 
 |                      'flags', 'traps']: | 
 |             self.assertRaises(AttributeError, c.__delattr__, attr) | 
 |  | 
 |         # Invalid attributes | 
 |         self.assertRaises(TypeError, getattr, c, 9) | 
 |         self.assertRaises(TypeError, setattr, c, 9) | 
 |  | 
 |         # Invalid values in constructor | 
 |         self.assertRaises(TypeError, Context, rounding=999999) | 
 |         self.assertRaises(TypeError, Context, rounding='xyz') | 
 |         self.assertRaises(ValueError, Context, clamp=2) | 
 |         self.assertRaises(ValueError, Context, capitals=-1) | 
 |         self.assertRaises(KeyError, Context, flags=["P"]) | 
 |         self.assertRaises(KeyError, Context, traps=["Q"]) | 
 |  | 
 |         # Type error in conversion | 
 |         self.assertRaises(TypeError, Context, flags=(0,1)) | 
 |         self.assertRaises(TypeError, Context, traps=(1,0)) | 
 |  | 
 | class CContextInputValidation(ContextInputValidation): | 
 |     decimal = C | 
 | class PyContextInputValidation(ContextInputValidation): | 
 |     decimal = P | 
 |  | 
 | class ContextSubclassing(unittest.TestCase): | 
 |  | 
 |     def test_context_subclassing(self): | 
 |         decimal = self.decimal | 
 |         Decimal = decimal.Decimal | 
 |         Context = decimal.Context | 
 |         Clamped = decimal.Clamped | 
 |         DivisionByZero = decimal.DivisionByZero | 
 |         Inexact = decimal.Inexact | 
 |         Overflow = decimal.Overflow | 
 |         Rounded = decimal.Rounded | 
 |         Subnormal = decimal.Subnormal | 
 |         Underflow = decimal.Underflow | 
 |         InvalidOperation = decimal.InvalidOperation | 
 |  | 
 |         class MyContext(Context): | 
 |             def __init__(self, prec=None, rounding=None, Emin=None, Emax=None, | 
 |                                capitals=None, clamp=None, flags=None, | 
 |                                traps=None): | 
 |                 Context.__init__(self) | 
 |                 if prec is not None: | 
 |                     self.prec = prec | 
 |                 if rounding is not None: | 
 |                     self.rounding = rounding | 
 |                 if Emin is not None: | 
 |                     self.Emin = Emin | 
 |                 if Emax is not None: | 
 |                     self.Emax = Emax | 
 |                 if capitals is not None: | 
 |                     self.capitals = capitals | 
 |                 if clamp is not None: | 
 |                     self.clamp = clamp | 
 |                 if flags is not None: | 
 |                     if isinstance(flags, list): | 
 |                         flags = {v:(v in flags) for v in OrderedSignals[decimal] + flags} | 
 |                     self.flags = flags | 
 |                 if traps is not None: | 
 |                     if isinstance(traps, list): | 
 |                         traps = {v:(v in traps) for v in OrderedSignals[decimal] + traps} | 
 |                     self.traps = traps | 
 |  | 
 |         c = Context() | 
 |         d = MyContext() | 
 |         for attr in ('prec', 'rounding', 'Emin', 'Emax', 'capitals', 'clamp', | 
 |                      'flags', 'traps'): | 
 |             self.assertEqual(getattr(c, attr), getattr(d, attr)) | 
 |  | 
 |         # prec | 
 |         self.assertRaises(ValueError, MyContext, **{'prec':-1}) | 
 |         c = MyContext(prec=1) | 
 |         self.assertEqual(c.prec, 1) | 
 |         self.assertRaises(InvalidOperation, c.quantize, Decimal('9e2'), 0) | 
 |  | 
 |         # rounding | 
 |         self.assertRaises(TypeError, MyContext, **{'rounding':'XYZ'}) | 
 |         c = MyContext(rounding=ROUND_DOWN, prec=1) | 
 |         self.assertEqual(c.rounding, ROUND_DOWN) | 
 |         self.assertEqual(c.plus(Decimal('9.9')), 9) | 
 |  | 
 |         # Emin | 
 |         self.assertRaises(ValueError, MyContext, **{'Emin':5}) | 
 |         c = MyContext(Emin=-1, prec=1) | 
 |         self.assertEqual(c.Emin, -1) | 
 |         x = c.add(Decimal('1e-99'), Decimal('2.234e-2000')) | 
 |         self.assertEqual(x, Decimal('0.0')) | 
 |         for signal in (Inexact, Underflow, Subnormal, Rounded, Clamped): | 
 |             self.assertTrue(c.flags[signal]) | 
 |  | 
 |         # Emax | 
 |         self.assertRaises(ValueError, MyContext, **{'Emax':-1}) | 
 |         c = MyContext(Emax=1, prec=1) | 
 |         self.assertEqual(c.Emax, 1) | 
 |         self.assertRaises(Overflow, c.add, Decimal('1e99'), Decimal('2.234e2000')) | 
 |         if self.decimal == C: | 
 |             for signal in (Inexact, Overflow, Rounded): | 
 |                 self.assertTrue(c.flags[signal]) | 
 |  | 
 |         # capitals | 
 |         self.assertRaises(ValueError, MyContext, **{'capitals':-1}) | 
 |         c = MyContext(capitals=0) | 
 |         self.assertEqual(c.capitals, 0) | 
 |         x = c.create_decimal('1E222') | 
 |         self.assertEqual(c.to_sci_string(x), '1e+222') | 
 |  | 
 |         # clamp | 
 |         self.assertRaises(ValueError, MyContext, **{'clamp':2}) | 
 |         c = MyContext(clamp=1, Emax=99) | 
 |         self.assertEqual(c.clamp, 1) | 
 |         x = c.plus(Decimal('1e99')) | 
 |         self.assertEqual(str(x), '1.000000000000000000000000000E+99') | 
 |  | 
 |         # flags | 
 |         self.assertRaises(TypeError, MyContext, **{'flags':'XYZ'}) | 
 |         c = MyContext(flags=[Rounded, DivisionByZero]) | 
 |         for signal in (Rounded, DivisionByZero): | 
 |             self.assertTrue(c.flags[signal]) | 
 |         c.clear_flags() | 
 |         for signal in OrderedSignals[decimal]: | 
 |             self.assertFalse(c.flags[signal]) | 
 |  | 
 |         # traps | 
 |         self.assertRaises(TypeError, MyContext, **{'traps':'XYZ'}) | 
 |         c = MyContext(traps=[Rounded, DivisionByZero]) | 
 |         for signal in (Rounded, DivisionByZero): | 
 |             self.assertTrue(c.traps[signal]) | 
 |         c.clear_traps() | 
 |         for signal in OrderedSignals[decimal]: | 
 |             self.assertFalse(c.traps[signal]) | 
 |  | 
 | class CContextSubclassing(ContextSubclassing): | 
 |     decimal = C | 
 | class PyContextSubclassing(ContextSubclassing): | 
 |     decimal = P | 
 |  | 
 | @skip_if_extra_functionality | 
 | class CheckAttributes(unittest.TestCase): | 
 |  | 
 |     def test_module_attributes(self): | 
 |  | 
 |         # Architecture dependent context limits | 
 |         self.assertEqual(C.MAX_PREC, P.MAX_PREC) | 
 |         self.assertEqual(C.MAX_EMAX, P.MAX_EMAX) | 
 |         self.assertEqual(C.MIN_EMIN, P.MIN_EMIN) | 
 |         self.assertEqual(C.MIN_ETINY, P.MIN_ETINY) | 
 |  | 
 |         self.assertTrue(C.HAVE_THREADS is True or C.HAVE_THREADS is False) | 
 |         self.assertTrue(P.HAVE_THREADS is True or P.HAVE_THREADS is False) | 
 |  | 
 |         self.assertEqual(C.__version__, P.__version__) | 
 |         self.assertEqual(C.__libmpdec_version__, P.__libmpdec_version__) | 
 |  | 
 |         self.assertEqual(dir(C), dir(P)) | 
 |  | 
 |     def test_context_attributes(self): | 
 |  | 
 |         x = [s for s in dir(C.Context()) if '__' in s or not s.startswith('_')] | 
 |         y = [s for s in dir(P.Context()) if '__' in s or not s.startswith('_')] | 
 |         self.assertEqual(set(x) - set(y), set()) | 
 |  | 
 |     def test_decimal_attributes(self): | 
 |  | 
 |         x = [s for s in dir(C.Decimal(9)) if '__' in s or not s.startswith('_')] | 
 |         y = [s for s in dir(C.Decimal(9)) if '__' in s or not s.startswith('_')] | 
 |         self.assertEqual(set(x) - set(y), set()) | 
 |  | 
 | class Coverage(unittest.TestCase): | 
 |  | 
 |     def test_adjusted(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         self.assertEqual(Decimal('1234e9999').adjusted(), 10002) | 
 |         # XXX raise? | 
 |         self.assertEqual(Decimal('nan').adjusted(), 0) | 
 |         self.assertEqual(Decimal('inf').adjusted(), 0) | 
 |  | 
 |     def test_canonical(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         getcontext = self.decimal.getcontext | 
 |  | 
 |         x = Decimal(9).canonical() | 
 |         self.assertEqual(x, 9) | 
 |  | 
 |         c = getcontext() | 
 |         x = c.canonical(Decimal(9)) | 
 |         self.assertEqual(x, 9) | 
 |  | 
 |     def test_context_repr(self): | 
 |         c = self.decimal.DefaultContext.copy() | 
 |  | 
 |         c.prec = 425000000 | 
 |         c.Emax = 425000000 | 
 |         c.Emin = -425000000 | 
 |         c.rounding = ROUND_HALF_DOWN | 
 |         c.capitals = 0 | 
 |         c.clamp = 1 | 
 |         for sig in OrderedSignals[self.decimal]: | 
 |             c.flags[sig] = False | 
 |             c.traps[sig] = False | 
 |  | 
 |         s = c.__repr__() | 
 |         t = "Context(prec=425000000, rounding=ROUND_HALF_DOWN, " \ | 
 |             "Emin=-425000000, Emax=425000000, capitals=0, clamp=1, " \ | 
 |             "flags=[], traps=[])" | 
 |         self.assertEqual(s, t) | 
 |  | 
 |     def test_implicit_context(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         with localcontext() as c: | 
 |             c.prec = 1 | 
 |             c.Emax = 1 | 
 |             c.Emin = -1 | 
 |  | 
 |             # abs | 
 |             self.assertEqual(abs(Decimal("-10")), 10) | 
 |             # add | 
 |             self.assertEqual(Decimal("7") + 1, 8) | 
 |             # divide | 
 |             self.assertEqual(Decimal("10") / 5, 2) | 
 |             # divide_int | 
 |             self.assertEqual(Decimal("10") // 7, 1) | 
 |             # fma | 
 |             self.assertEqual(Decimal("1.2").fma(Decimal("0.01"), 1), 1) | 
 |             self.assertIs(Decimal("NaN").fma(7, 1).is_nan(), True) | 
 |             # three arg power | 
 |             self.assertEqual(pow(Decimal(10), 2, 7), 2) | 
 |             # exp | 
 |             self.assertEqual(Decimal("1.01").exp(), 3) | 
 |             # is_normal | 
 |             self.assertIs(Decimal("0.01").is_normal(), False) | 
 |             # is_subnormal | 
 |             self.assertIs(Decimal("0.01").is_subnormal(), True) | 
 |             # ln | 
 |             self.assertEqual(Decimal("20").ln(), 3) | 
 |             # log10 | 
 |             self.assertEqual(Decimal("20").log10(), 1) | 
 |             # logb | 
 |             self.assertEqual(Decimal("580").logb(), 2) | 
 |             # logical_invert | 
 |             self.assertEqual(Decimal("10").logical_invert(), 1) | 
 |             # minus | 
 |             self.assertEqual(-Decimal("-10"), 10) | 
 |             # multiply | 
 |             self.assertEqual(Decimal("2") * 4, 8) | 
 |             # next_minus | 
 |             self.assertEqual(Decimal("10").next_minus(), 9) | 
 |             # next_plus | 
 |             self.assertEqual(Decimal("10").next_plus(), Decimal('2E+1')) | 
 |             # normalize | 
 |             self.assertEqual(Decimal("-10").normalize(), Decimal('-1E+1')) | 
 |             # number_class | 
 |             self.assertEqual(Decimal("10").number_class(), '+Normal') | 
 |             # plus | 
 |             self.assertEqual(+Decimal("-1"), -1) | 
 |             # remainder | 
 |             self.assertEqual(Decimal("10") % 7, 3) | 
 |             # subtract | 
 |             self.assertEqual(Decimal("10") - 7, 3) | 
 |             # to_integral_exact | 
 |             self.assertEqual(Decimal("1.12345").to_integral_exact(), 1) | 
 |  | 
 |             # Boolean functions | 
 |             self.assertTrue(Decimal("1").is_canonical()) | 
 |             self.assertTrue(Decimal("1").is_finite()) | 
 |             self.assertTrue(Decimal("1").is_finite()) | 
 |             self.assertTrue(Decimal("snan").is_snan()) | 
 |             self.assertTrue(Decimal("-1").is_signed()) | 
 |             self.assertTrue(Decimal("0").is_zero()) | 
 |             self.assertTrue(Decimal("0").is_zero()) | 
 |  | 
 |         # Copy | 
 |         with localcontext() as c: | 
 |             c.prec = 10000 | 
 |             x = 1228 ** 1523 | 
 |             y = -Decimal(x) | 
 |  | 
 |             z = y.copy_abs() | 
 |             self.assertEqual(z, x) | 
 |  | 
 |             z = y.copy_negate() | 
 |             self.assertEqual(z, x) | 
 |  | 
 |             z = y.copy_sign(Decimal(1)) | 
 |             self.assertEqual(z, x) | 
 |  | 
 |     def test_divmod(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         localcontext = self.decimal.localcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |         DivisionByZero = self.decimal.DivisionByZero | 
 |  | 
 |         with localcontext() as c: | 
 |             q, r = divmod(Decimal("10912837129"), 1001) | 
 |             self.assertEqual(q, Decimal('10901935')) | 
 |             self.assertEqual(r, Decimal('194')) | 
 |  | 
 |             q, r = divmod(Decimal("NaN"), 7) | 
 |             self.assertTrue(q.is_nan() and r.is_nan()) | 
 |  | 
 |             c.traps[InvalidOperation] = False | 
 |             q, r = divmod(Decimal("NaN"), 7) | 
 |             self.assertTrue(q.is_nan() and r.is_nan()) | 
 |  | 
 |             c.traps[InvalidOperation] = False | 
 |             c.clear_flags() | 
 |             q, r = divmod(Decimal("inf"), Decimal("inf")) | 
 |             self.assertTrue(q.is_nan() and r.is_nan()) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             q, r = divmod(Decimal("inf"), 101) | 
 |             self.assertTrue(q.is_infinite() and r.is_nan()) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             q, r = divmod(Decimal(0), 0) | 
 |             self.assertTrue(q.is_nan() and r.is_nan()) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.traps[DivisionByZero] = False | 
 |             c.clear_flags() | 
 |             q, r = divmod(Decimal(11), 0) | 
 |             self.assertTrue(q.is_infinite() and r.is_nan()) | 
 |             self.assertTrue(c.flags[InvalidOperation] and | 
 |                             c.flags[DivisionByZero]) | 
 |  | 
 |     def test_power(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         localcontext = self.decimal.localcontext | 
 |         Overflow = self.decimal.Overflow | 
 |         Rounded = self.decimal.Rounded | 
 |  | 
 |         with localcontext() as c: | 
 |             c.prec = 3 | 
 |             c.clear_flags() | 
 |             self.assertEqual(Decimal("1.0") ** 100, Decimal('1.00')) | 
 |             self.assertTrue(c.flags[Rounded]) | 
 |  | 
 |             c.prec = 1 | 
 |             c.Emax = 1 | 
 |             c.Emin = -1 | 
 |             c.clear_flags() | 
 |             c.traps[Overflow] = False | 
 |             self.assertEqual(Decimal(10000) ** Decimal("0.5"), Decimal('inf')) | 
 |             self.assertTrue(c.flags[Overflow]) | 
 |  | 
 |     def test_quantize(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         localcontext = self.decimal.localcontext | 
 |         InvalidOperation = self.decimal.InvalidOperation | 
 |  | 
 |         with localcontext() as c: | 
 |             c.prec = 1 | 
 |             c.Emax = 1 | 
 |             c.Emin = -1 | 
 |             c.traps[InvalidOperation] = False | 
 |             x = Decimal(99).quantize(Decimal("1e1")) | 
 |             self.assertTrue(x.is_nan()) | 
 |  | 
 |     def test_radix(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         getcontext = self.decimal.getcontext | 
 |  | 
 |         c = getcontext() | 
 |         self.assertEqual(Decimal("1").radix(), 10) | 
 |         self.assertEqual(c.radix(), 10) | 
 |  | 
 |     def test_rop(self): | 
 |         Decimal = self.decimal.Decimal | 
 |  | 
 |         for attr in ('__radd__', '__rsub__', '__rmul__', '__rtruediv__', | 
 |                      '__rdivmod__', '__rmod__', '__rfloordiv__', '__rpow__'): | 
 |             self.assertIs(getattr(Decimal("1"), attr)("xyz"), NotImplemented) | 
 |  | 
 |     def test_round(self): | 
 |         # Python3 behavior: round() returns Decimal | 
 |         Decimal = self.decimal.Decimal | 
 |         getcontext = self.decimal.getcontext | 
 |  | 
 |         c = getcontext() | 
 |         c.prec = 28 | 
 |  | 
 |         self.assertEqual(str(Decimal("9.99").__round__()), "10") | 
 |         self.assertEqual(str(Decimal("9.99e-5").__round__()), "0") | 
 |         self.assertEqual(str(Decimal("1.23456789").__round__(5)), "1.23457") | 
 |         self.assertEqual(str(Decimal("1.2345").__round__(10)), "1.2345000000") | 
 |         self.assertEqual(str(Decimal("1.2345").__round__(-10)), "0E+10") | 
 |  | 
 |         self.assertRaises(TypeError, Decimal("1.23").__round__, "5") | 
 |         self.assertRaises(TypeError, Decimal("1.23").__round__, 5, 8) | 
 |  | 
 |     def test_create_decimal(self): | 
 |         c = self.decimal.Context() | 
 |         self.assertRaises(ValueError, c.create_decimal, ["%"]) | 
 |  | 
 |     def test_int(self): | 
 |         Decimal = self.decimal.Decimal | 
 |         localcontext = self.decimal.localcontext | 
 |  | 
 |         with localcontext() as c: | 
 |             c.prec = 9999 | 
 |             x = Decimal(1221**1271) / 10**3923 | 
 |             self.assertEqual(int(x), 1) | 
 |             self.assertEqual(x.to_integral(), 2) | 
 |  | 
 |     def test_copy(self): | 
 |         Context = self.decimal.Context | 
 |  | 
 |         c = Context() | 
 |         c.prec = 10000 | 
 |         x = -(1172 ** 1712) | 
 |  | 
 |         y = c.copy_abs(x) | 
 |         self.assertEqual(y, -x) | 
 |  | 
 |         y = c.copy_negate(x) | 
 |         self.assertEqual(y, -x) | 
 |  | 
 |         y = c.copy_sign(x, 1) | 
 |         self.assertEqual(y, -x) | 
 |  | 
 | class CCoverage(Coverage): | 
 |     decimal = C | 
 | class PyCoverage(Coverage): | 
 |     decimal = P | 
 |  | 
 | class PyFunctionality(unittest.TestCase): | 
 |     """Extra functionality in decimal.py""" | 
 |  | 
 |     def test_py_alternate_formatting(self): | 
 |         # triples giving a format, a Decimal, and the expected result | 
 |         Decimal = P.Decimal | 
 |         localcontext = P.localcontext | 
 |  | 
 |         test_values = [ | 
 |             # Issue 7094: Alternate formatting (specified by #) | 
 |             ('.0e', '1.0', '1e+0'), | 
 |             ('#.0e', '1.0', '1.e+0'), | 
 |             ('.0f', '1.0', '1'), | 
 |             ('#.0f', '1.0', '1.'), | 
 |             ('g', '1.1', '1.1'), | 
 |             ('#g', '1.1', '1.1'), | 
 |             ('.0g', '1', '1'), | 
 |             ('#.0g', '1', '1.'), | 
 |             ('.0%', '1.0', '100%'), | 
 |             ('#.0%', '1.0', '100.%'), | 
 |             ] | 
 |         for fmt, d, result in test_values: | 
 |             self.assertEqual(format(Decimal(d), fmt), result) | 
 |  | 
 | class PyWhitebox(unittest.TestCase): | 
 |     """White box testing for decimal.py""" | 
 |  | 
 |     def test_py_exact_power(self): | 
 |         # Rarely exercised lines in _power_exact. | 
 |         Decimal = P.Decimal | 
 |         localcontext = P.localcontext | 
 |  | 
 |         with localcontext() as c: | 
 |             c.prec = 8 | 
 |             x = Decimal(2**16) ** Decimal("-0.5") | 
 |             self.assertEqual(x, Decimal('0.00390625')) | 
 |  | 
 |             x = Decimal(2**16) ** Decimal("-0.6") | 
 |             self.assertEqual(x, Decimal('0.0012885819')) | 
 |  | 
 |             x = Decimal("256e7") ** Decimal("-0.5") | 
 |  | 
 |             x = Decimal(152587890625) ** Decimal('-0.0625') | 
 |             self.assertEqual(x, Decimal("0.2")) | 
 |  | 
 |             x = Decimal("152587890625e7") ** Decimal('-0.0625') | 
 |  | 
 |             x = Decimal(5**2659) ** Decimal('-0.0625') | 
 |  | 
 |             c.prec = 1 | 
 |             x = Decimal("152587890625") ** Decimal('-0.5') | 
 |             c.prec = 201 | 
 |             x = Decimal(2**578) ** Decimal("-0.5") | 
 |  | 
 |     def test_py_immutability_operations(self): | 
 |         # Do operations and check that it didn't change internal objects. | 
 |         Decimal = P.Decimal | 
 |         DefaultContext = P.DefaultContext | 
 |         setcontext = P.setcontext | 
 |  | 
 |         c = DefaultContext.copy() | 
 |         c.traps = dict((s, 0) for s in OrderedSignals[P]) | 
 |         setcontext(c) | 
 |  | 
 |         d1 = Decimal('-25e55') | 
 |         b1 = Decimal('-25e55') | 
 |         d2 = Decimal('33e+33') | 
 |         b2 = Decimal('33e+33') | 
 |  | 
 |         def checkSameDec(operation, useOther=False): | 
 |             if useOther: | 
 |                 eval("d1." + operation + "(d2)") | 
 |                 self.assertEqual(d1._sign, b1._sign) | 
 |                 self.assertEqual(d1._int, b1._int) | 
 |                 self.assertEqual(d1._exp, b1._exp) | 
 |                 self.assertEqual(d2._sign, b2._sign) | 
 |                 self.assertEqual(d2._int, b2._int) | 
 |                 self.assertEqual(d2._exp, b2._exp) | 
 |             else: | 
 |                 eval("d1." + operation + "()") | 
 |                 self.assertEqual(d1._sign, b1._sign) | 
 |                 self.assertEqual(d1._int, b1._int) | 
 |                 self.assertEqual(d1._exp, b1._exp) | 
 |  | 
 |         Decimal(d1) | 
 |         self.assertEqual(d1._sign, b1._sign) | 
 |         self.assertEqual(d1._int, b1._int) | 
 |         self.assertEqual(d1._exp, b1._exp) | 
 |  | 
 |         checkSameDec("__abs__") | 
 |         checkSameDec("__add__", True) | 
 |         checkSameDec("__divmod__", True) | 
 |         checkSameDec("__eq__", True) | 
 |         checkSameDec("__ne__", True) | 
 |         checkSameDec("__le__", True) | 
 |         checkSameDec("__lt__", True) | 
 |         checkSameDec("__ge__", True) | 
 |         checkSameDec("__gt__", True) | 
 |         checkSameDec("__float__") | 
 |         checkSameDec("__floordiv__", True) | 
 |         checkSameDec("__hash__") | 
 |         checkSameDec("__int__") | 
 |         checkSameDec("__trunc__") | 
 |         checkSameDec("__mod__", True) | 
 |         checkSameDec("__mul__", True) | 
 |         checkSameDec("__neg__") | 
 |         checkSameDec("__bool__") | 
 |         checkSameDec("__pos__") | 
 |         checkSameDec("__pow__", True) | 
 |         checkSameDec("__radd__", True) | 
 |         checkSameDec("__rdivmod__", True) | 
 |         checkSameDec("__repr__") | 
 |         checkSameDec("__rfloordiv__", True) | 
 |         checkSameDec("__rmod__", True) | 
 |         checkSameDec("__rmul__", True) | 
 |         checkSameDec("__rpow__", True) | 
 |         checkSameDec("__rsub__", True) | 
 |         checkSameDec("__str__") | 
 |         checkSameDec("__sub__", True) | 
 |         checkSameDec("__truediv__", True) | 
 |         checkSameDec("adjusted") | 
 |         checkSameDec("as_tuple") | 
 |         checkSameDec("compare", True) | 
 |         checkSameDec("max", True) | 
 |         checkSameDec("min", True) | 
 |         checkSameDec("normalize") | 
 |         checkSameDec("quantize", True) | 
 |         checkSameDec("remainder_near", True) | 
 |         checkSameDec("same_quantum", True) | 
 |         checkSameDec("sqrt") | 
 |         checkSameDec("to_eng_string") | 
 |         checkSameDec("to_integral") | 
 |  | 
 |     def test_py_decimal_id(self): | 
 |         Decimal = P.Decimal | 
 |  | 
 |         d = Decimal(45) | 
 |         e = Decimal(d) | 
 |         self.assertEqual(str(e), '45') | 
 |         self.assertNotEqual(id(d), id(e)) | 
 |  | 
 |     def test_py_rescale(self): | 
 |         # Coverage | 
 |         Decimal = P.Decimal | 
 |         localcontext = P.localcontext | 
 |  | 
 |         with localcontext() as c: | 
 |             x = Decimal("NaN")._rescale(3, ROUND_UP) | 
 |             self.assertTrue(x.is_nan()) | 
 |  | 
 |     def test_py__round(self): | 
 |         # Coverage | 
 |         Decimal = P.Decimal | 
 |  | 
 |         self.assertRaises(ValueError, Decimal("3.1234")._round, 0, ROUND_UP) | 
 |  | 
 | class CFunctionality(unittest.TestCase): | 
 |     """Extra functionality in _decimal""" | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_c_ieee_context(self): | 
 |         # issue 8786: Add support for IEEE 754 contexts to decimal module. | 
 |         IEEEContext = C.IEEEContext | 
 |         DECIMAL32 = C.DECIMAL32 | 
 |         DECIMAL64 = C.DECIMAL64 | 
 |         DECIMAL128 = C.DECIMAL128 | 
 |  | 
 |         def assert_rest(self, context): | 
 |             self.assertEqual(context.clamp, 1) | 
 |             assert_signals(self, context, 'traps', []) | 
 |             assert_signals(self, context, 'flags', []) | 
 |  | 
 |         c = IEEEContext(DECIMAL32) | 
 |         self.assertEqual(c.prec, 7) | 
 |         self.assertEqual(c.Emax, 96) | 
 |         self.assertEqual(c.Emin, -95) | 
 |         assert_rest(self, c) | 
 |  | 
 |         c = IEEEContext(DECIMAL64) | 
 |         self.assertEqual(c.prec, 16) | 
 |         self.assertEqual(c.Emax, 384) | 
 |         self.assertEqual(c.Emin, -383) | 
 |         assert_rest(self, c) | 
 |  | 
 |         c = IEEEContext(DECIMAL128) | 
 |         self.assertEqual(c.prec, 34) | 
 |         self.assertEqual(c.Emax, 6144) | 
 |         self.assertEqual(c.Emin, -6143) | 
 |         assert_rest(self, c) | 
 |  | 
 |         # Invalid values | 
 |         self.assertRaises(OverflowError, IEEEContext, 2**63) | 
 |         self.assertRaises(ValueError, IEEEContext, -1) | 
 |         self.assertRaises(ValueError, IEEEContext, 1024) | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_c_context(self): | 
 |         Context = C.Context | 
 |  | 
 |         c = Context(flags=C.DecClamped, traps=C.DecRounded) | 
 |         self.assertEqual(c._flags, C.DecClamped) | 
 |         self.assertEqual(c._traps, C.DecRounded) | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_constants(self): | 
 |         # Condition flags | 
 |         cond = ( | 
 |             C.DecClamped, C.DecConversionSyntax, C.DecDivisionByZero, | 
 |             C.DecDivisionImpossible, C.DecDivisionUndefined, | 
 |             C.DecFpuError, C.DecInexact, C.DecInvalidContext, | 
 |             C.DecInvalidOperation, C.DecMallocError, | 
 |             C.DecFloatOperation, C.DecOverflow, C.DecRounded, | 
 |             C.DecSubnormal, C.DecUnderflow | 
 |         ) | 
 |  | 
 |         # IEEEContext | 
 |         self.assertEqual(C.DECIMAL32, 32) | 
 |         self.assertEqual(C.DECIMAL64, 64) | 
 |         self.assertEqual(C.DECIMAL128, 128) | 
 |         self.assertEqual(C.IEEE_CONTEXT_MAX_BITS, 512) | 
 |  | 
 |         # Conditions | 
 |         for i, v in enumerate(cond): | 
 |             self.assertEqual(v, 1<<i) | 
 |  | 
 |         self.assertEqual(C.DecIEEEInvalidOperation, | 
 |                          C.DecConversionSyntax| | 
 |                          C.DecDivisionImpossible| | 
 |                          C.DecDivisionUndefined| | 
 |                          C.DecFpuError| | 
 |                          C.DecInvalidContext| | 
 |                          C.DecInvalidOperation| | 
 |                          C.DecMallocError) | 
 |  | 
 |         self.assertEqual(C.DecErrors, | 
 |                          C.DecIEEEInvalidOperation| | 
 |                          C.DecDivisionByZero) | 
 |  | 
 |         self.assertEqual(C.DecTraps, | 
 |                          C.DecErrors|C.DecOverflow|C.DecUnderflow) | 
 |  | 
 | class CWhitebox(unittest.TestCase): | 
 |     """Whitebox testing for _decimal""" | 
 |  | 
 |     def test_bignum(self): | 
 |         # Not exactly whitebox, but too slow with pydecimal. | 
 |  | 
 |         Decimal = C.Decimal | 
 |         localcontext = C.localcontext | 
 |  | 
 |         b1 = 10**35 | 
 |         b2 = 10**36 | 
 |         with localcontext() as c: | 
 |             c.prec = 1000000 | 
 |             for i in range(5): | 
 |                 a = random.randrange(b1, b2) | 
 |                 b = random.randrange(1000, 1200) | 
 |                 x = a ** b | 
 |                 y = Decimal(a) ** Decimal(b) | 
 |                 self.assertEqual(x, y) | 
 |  | 
 |     def test_invalid_construction(self): | 
 |         self.assertRaises(TypeError, C.Decimal, 9, "xyz") | 
 |  | 
 |     def test_c_input_restriction(self): | 
 |         # Too large for _decimal to be converted exactly | 
 |         Decimal = C.Decimal | 
 |         InvalidOperation = C.InvalidOperation | 
 |         Context = C.Context | 
 |         localcontext = C.localcontext | 
 |  | 
 |         with localcontext(Context()): | 
 |             self.assertRaises(InvalidOperation, Decimal, | 
 |                               "1e9999999999999999999") | 
 |  | 
 |     def test_c_context_repr(self): | 
 |         # This test is _decimal-only because flags are not printed | 
 |         # in the same order. | 
 |         DefaultContext = C.DefaultContext | 
 |         FloatOperation = C.FloatOperation | 
 |  | 
 |         c = DefaultContext.copy() | 
 |  | 
 |         c.prec = 425000000 | 
 |         c.Emax = 425000000 | 
 |         c.Emin = -425000000 | 
 |         c.rounding = ROUND_HALF_DOWN | 
 |         c.capitals = 0 | 
 |         c.clamp = 1 | 
 |         for sig in OrderedSignals[C]: | 
 |             c.flags[sig] = True | 
 |             c.traps[sig] = True | 
 |         c.flags[FloatOperation] = True | 
 |         c.traps[FloatOperation] = True | 
 |  | 
 |         s = c.__repr__() | 
 |         t = "Context(prec=425000000, rounding=ROUND_HALF_DOWN, " \ | 
 |             "Emin=-425000000, Emax=425000000, capitals=0, clamp=1, " \ | 
 |             "flags=[Clamped, InvalidOperation, DivisionByZero, Inexact, " \ | 
 |                    "FloatOperation, Overflow, Rounded, Subnormal, Underflow], " \ | 
 |             "traps=[Clamped, InvalidOperation, DivisionByZero, Inexact, " \ | 
 |                    "FloatOperation, Overflow, Rounded, Subnormal, Underflow])" | 
 |         self.assertEqual(s, t) | 
 |  | 
 |     def test_c_context_errors(self): | 
 |         Context = C.Context | 
 |         InvalidOperation = C.InvalidOperation | 
 |         Overflow = C.Overflow | 
 |         FloatOperation = C.FloatOperation | 
 |         localcontext = C.localcontext | 
 |         getcontext = C.getcontext | 
 |         setcontext = C.setcontext | 
 |         HAVE_CONFIG_64 = (C.MAX_PREC > 425000000) | 
 |  | 
 |         c = Context() | 
 |  | 
 |         # SignalDict: input validation | 
 |         self.assertRaises(KeyError, c.flags.__setitem__, 801, 0) | 
 |         self.assertRaises(KeyError, c.traps.__setitem__, 801, 0) | 
 |         self.assertRaises(ValueError, c.flags.__delitem__, Overflow) | 
 |         self.assertRaises(ValueError, c.traps.__delitem__, InvalidOperation) | 
 |         self.assertRaises(TypeError, setattr, c, 'flags', ['x']) | 
 |         self.assertRaises(TypeError, setattr, c,'traps', ['y']) | 
 |         self.assertRaises(KeyError, setattr, c, 'flags', {0:1}) | 
 |         self.assertRaises(KeyError, setattr, c, 'traps', {0:1}) | 
 |  | 
 |         # Test assignment from a signal dict with the correct length but | 
 |         # one invalid key. | 
 |         d = c.flags.copy() | 
 |         del d[FloatOperation] | 
 |         d["XYZ"] = 91283719 | 
 |         self.assertRaises(KeyError, setattr, c, 'flags', d) | 
 |         self.assertRaises(KeyError, setattr, c, 'traps', d) | 
 |  | 
 |         # Input corner cases | 
 |         int_max = 2**63-1 if HAVE_CONFIG_64 else 2**31-1 | 
 |         gt_max_emax = 10**18 if HAVE_CONFIG_64 else 10**9 | 
 |  | 
 |         # prec, Emax, Emin | 
 |         for attr in ['prec', 'Emax']: | 
 |             self.assertRaises(ValueError, setattr, c, attr, gt_max_emax) | 
 |         self.assertRaises(ValueError, setattr, c, 'Emin', -gt_max_emax) | 
 |  | 
 |         # prec, Emax, Emin in context constructor | 
 |         self.assertRaises(ValueError, Context, prec=gt_max_emax) | 
 |         self.assertRaises(ValueError, Context, Emax=gt_max_emax) | 
 |         self.assertRaises(ValueError, Context, Emin=-gt_max_emax) | 
 |  | 
 |         # Overflow in conversion | 
 |         self.assertRaises(OverflowError, Context, prec=int_max+1) | 
 |         self.assertRaises(OverflowError, Context, Emax=int_max+1) | 
 |         self.assertRaises(OverflowError, Context, Emin=-int_max-2) | 
 |         self.assertRaises(OverflowError, Context, clamp=int_max+1) | 
 |         self.assertRaises(OverflowError, Context, capitals=int_max+1) | 
 |  | 
 |         # OverflowError, general ValueError | 
 |         for attr in ('prec', 'Emin', 'Emax', 'capitals', 'clamp'): | 
 |             self.assertRaises(OverflowError, setattr, c, attr, int_max+1) | 
 |             self.assertRaises(OverflowError, setattr, c, attr, -int_max-2) | 
 |             if sys.platform != 'win32': | 
 |                 self.assertRaises(ValueError, setattr, c, attr, int_max) | 
 |                 self.assertRaises(ValueError, setattr, c, attr, -int_max-1) | 
 |  | 
 |         # OverflowError: _unsafe_setprec, _unsafe_setemin, _unsafe_setemax | 
 |         if C.MAX_PREC == 425000000: | 
 |             self.assertRaises(OverflowError, getattr(c, '_unsafe_setprec'), | 
 |                               int_max+1) | 
 |             self.assertRaises(OverflowError, getattr(c, '_unsafe_setemax'), | 
 |                               int_max+1) | 
 |             self.assertRaises(OverflowError, getattr(c, '_unsafe_setemin'), | 
 |                               -int_max-2) | 
 |  | 
 |         # ValueError: _unsafe_setprec, _unsafe_setemin, _unsafe_setemax | 
 |         if C.MAX_PREC == 425000000: | 
 |             self.assertRaises(ValueError, getattr(c, '_unsafe_setprec'), 0) | 
 |             self.assertRaises(ValueError, getattr(c, '_unsafe_setprec'), | 
 |                               1070000001) | 
 |             self.assertRaises(ValueError, getattr(c, '_unsafe_setemax'), -1) | 
 |             self.assertRaises(ValueError, getattr(c, '_unsafe_setemax'), | 
 |                               1070000001) | 
 |             self.assertRaises(ValueError, getattr(c, '_unsafe_setemin'), | 
 |                               -1070000001) | 
 |             self.assertRaises(ValueError, getattr(c, '_unsafe_setemin'), 1) | 
 |  | 
 |         # capitals, clamp | 
 |         for attr in ['capitals', 'clamp']: | 
 |             self.assertRaises(ValueError, setattr, c, attr, -1) | 
 |             self.assertRaises(ValueError, setattr, c, attr, 2) | 
 |             self.assertRaises(TypeError, setattr, c, attr, [1,2,3]) | 
 |             if HAVE_CONFIG_64: | 
 |                 self.assertRaises(ValueError, setattr, c, attr, 2**32) | 
 |                 self.assertRaises(ValueError, setattr, c, attr, 2**32+1) | 
 |  | 
 |         # Invalid local context | 
 |         self.assertRaises(TypeError, exec, 'with localcontext("xyz"): pass', | 
 |                           locals()) | 
 |         self.assertRaises(TypeError, exec, | 
 |                           'with localcontext(context=getcontext()): pass', | 
 |                           locals()) | 
 |  | 
 |         # setcontext | 
 |         saved_context = getcontext() | 
 |         self.assertRaises(TypeError, setcontext, "xyz") | 
 |         setcontext(saved_context) | 
 |  | 
 |     def test_rounding_strings_interned(self): | 
 |  | 
 |         self.assertIs(C.ROUND_UP, P.ROUND_UP) | 
 |         self.assertIs(C.ROUND_DOWN, P.ROUND_DOWN) | 
 |         self.assertIs(C.ROUND_CEILING, P.ROUND_CEILING) | 
 |         self.assertIs(C.ROUND_FLOOR, P.ROUND_FLOOR) | 
 |         self.assertIs(C.ROUND_HALF_UP, P.ROUND_HALF_UP) | 
 |         self.assertIs(C.ROUND_HALF_DOWN, P.ROUND_HALF_DOWN) | 
 |         self.assertIs(C.ROUND_HALF_EVEN, P.ROUND_HALF_EVEN) | 
 |         self.assertIs(C.ROUND_05UP, P.ROUND_05UP) | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_c_context_errors_extra(self): | 
 |         Context = C.Context | 
 |         InvalidOperation = C.InvalidOperation | 
 |         Overflow = C.Overflow | 
 |         localcontext = C.localcontext | 
 |         getcontext = C.getcontext | 
 |         setcontext = C.setcontext | 
 |         HAVE_CONFIG_64 = (C.MAX_PREC > 425000000) | 
 |  | 
 |         c = Context() | 
 |  | 
 |         # Input corner cases | 
 |         int_max = 2**63-1 if HAVE_CONFIG_64 else 2**31-1 | 
 |  | 
 |         # OverflowError, general ValueError | 
 |         self.assertRaises(OverflowError, setattr, c, '_allcr', int_max+1) | 
 |         self.assertRaises(OverflowError, setattr, c, '_allcr', -int_max-2) | 
 |         if sys.platform != 'win32': | 
 |             self.assertRaises(ValueError, setattr, c, '_allcr', int_max) | 
 |             self.assertRaises(ValueError, setattr, c, '_allcr', -int_max-1) | 
 |  | 
 |         # OverflowError, general TypeError | 
 |         for attr in ('_flags', '_traps'): | 
 |             self.assertRaises(OverflowError, setattr, c, attr, int_max+1) | 
 |             self.assertRaises(OverflowError, setattr, c, attr, -int_max-2) | 
 |             if sys.platform != 'win32': | 
 |                 self.assertRaises(TypeError, setattr, c, attr, int_max) | 
 |                 self.assertRaises(TypeError, setattr, c, attr, -int_max-1) | 
 |  | 
 |         # _allcr | 
 |         self.assertRaises(ValueError, setattr, c, '_allcr', -1) | 
 |         self.assertRaises(ValueError, setattr, c, '_allcr', 2) | 
 |         self.assertRaises(TypeError, setattr, c, '_allcr', [1,2,3]) | 
 |         if HAVE_CONFIG_64: | 
 |             self.assertRaises(ValueError, setattr, c, '_allcr', 2**32) | 
 |             self.assertRaises(ValueError, setattr, c, '_allcr', 2**32+1) | 
 |  | 
 |         # _flags, _traps | 
 |         for attr in ['_flags', '_traps']: | 
 |             self.assertRaises(TypeError, setattr, c, attr, 999999) | 
 |             self.assertRaises(TypeError, setattr, c, attr, 'x') | 
 |  | 
 |     def test_c_valid_context(self): | 
 |         # These tests are for code coverage in _decimal. | 
 |         DefaultContext = C.DefaultContext | 
 |         Clamped = C.Clamped | 
 |         Underflow = C.Underflow | 
 |         Inexact = C.Inexact | 
 |         Rounded = C.Rounded | 
 |         Subnormal = C.Subnormal | 
 |  | 
 |         c = DefaultContext.copy() | 
 |  | 
 |         # Exercise all getters and setters | 
 |         c.prec = 34 | 
 |         c.rounding = ROUND_HALF_UP | 
 |         c.Emax = 3000 | 
 |         c.Emin = -3000 | 
 |         c.capitals = 1 | 
 |         c.clamp = 0 | 
 |  | 
 |         self.assertEqual(c.prec, 34) | 
 |         self.assertEqual(c.rounding, ROUND_HALF_UP) | 
 |         self.assertEqual(c.Emin, -3000) | 
 |         self.assertEqual(c.Emax, 3000) | 
 |         self.assertEqual(c.capitals, 1) | 
 |         self.assertEqual(c.clamp, 0) | 
 |  | 
 |         self.assertEqual(c.Etiny(), -3033) | 
 |         self.assertEqual(c.Etop(), 2967) | 
 |  | 
 |         # Exercise all unsafe setters | 
 |         if C.MAX_PREC == 425000000: | 
 |             c._unsafe_setprec(999999999) | 
 |             c._unsafe_setemax(999999999) | 
 |             c._unsafe_setemin(-999999999) | 
 |             self.assertEqual(c.prec, 999999999) | 
 |             self.assertEqual(c.Emax, 999999999) | 
 |             self.assertEqual(c.Emin, -999999999) | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_c_valid_context_extra(self): | 
 |         DefaultContext = C.DefaultContext | 
 |  | 
 |         c = DefaultContext.copy() | 
 |         self.assertEqual(c._allcr, 1) | 
 |         c._allcr = 0 | 
 |         self.assertEqual(c._allcr, 0) | 
 |  | 
 |     def test_c_round(self): | 
 |         # Restricted input. | 
 |         Decimal = C.Decimal | 
 |         InvalidOperation = C.InvalidOperation | 
 |         localcontext = C.localcontext | 
 |         MAX_EMAX = C.MAX_EMAX | 
 |         MIN_ETINY = C.MIN_ETINY | 
 |         int_max = 2**63-1 if C.MAX_PREC > 425000000 else 2**31-1 | 
 |  | 
 |         with localcontext() as c: | 
 |             c.traps[InvalidOperation] = True | 
 |             self.assertRaises(InvalidOperation, Decimal("1.23").__round__, | 
 |                               -int_max-1) | 
 |             self.assertRaises(InvalidOperation, Decimal("1.23").__round__, | 
 |                               int_max) | 
 |             self.assertRaises(InvalidOperation, Decimal("1").__round__, | 
 |                               int(MAX_EMAX+1)) | 
 |             self.assertRaises(C.InvalidOperation, Decimal("1").__round__, | 
 |                               -int(MIN_ETINY-1)) | 
 |             self.assertRaises(OverflowError, Decimal("1.23").__round__, | 
 |                               -int_max-2) | 
 |             self.assertRaises(OverflowError, Decimal("1.23").__round__, | 
 |                               int_max+1) | 
 |  | 
 |     def test_c_format(self): | 
 |         # Restricted input | 
 |         Decimal = C.Decimal | 
 |         HAVE_CONFIG_64 = (C.MAX_PREC > 425000000) | 
 |  | 
 |         self.assertRaises(TypeError, Decimal(1).__format__, "=10.10", [], 9) | 
 |         self.assertRaises(TypeError, Decimal(1).__format__, "=10.10", 9) | 
 |         self.assertRaises(TypeError, Decimal(1).__format__, []) | 
 |  | 
 |         self.assertRaises(ValueError, Decimal(1).__format__, "<>=10.10") | 
 |         maxsize = 2**63-1 if HAVE_CONFIG_64 else 2**31-1 | 
 |         self.assertRaises(ValueError, Decimal("1.23456789").__format__, | 
 |                           "=%d.1" % maxsize) | 
 |  | 
 |     def test_c_integral(self): | 
 |         Decimal = C.Decimal | 
 |         Inexact = C.Inexact | 
 |         localcontext = C.localcontext | 
 |  | 
 |         x = Decimal(10) | 
 |         self.assertEqual(x.to_integral(), 10) | 
 |         self.assertRaises(TypeError, x.to_integral, '10') | 
 |         self.assertRaises(TypeError, x.to_integral, 10, 'x') | 
 |         self.assertRaises(TypeError, x.to_integral, 10) | 
 |  | 
 |         self.assertEqual(x.to_integral_value(), 10) | 
 |         self.assertRaises(TypeError, x.to_integral_value, '10') | 
 |         self.assertRaises(TypeError, x.to_integral_value, 10, 'x') | 
 |         self.assertRaises(TypeError, x.to_integral_value, 10) | 
 |  | 
 |         self.assertEqual(x.to_integral_exact(), 10) | 
 |         self.assertRaises(TypeError, x.to_integral_exact, '10') | 
 |         self.assertRaises(TypeError, x.to_integral_exact, 10, 'x') | 
 |         self.assertRaises(TypeError, x.to_integral_exact, 10) | 
 |  | 
 |         with localcontext() as c: | 
 |             x = Decimal("99999999999999999999999999.9").to_integral_value(ROUND_UP) | 
 |             self.assertEqual(x, Decimal('100000000000000000000000000')) | 
 |  | 
 |             x = Decimal("99999999999999999999999999.9").to_integral_exact(ROUND_UP) | 
 |             self.assertEqual(x, Decimal('100000000000000000000000000')) | 
 |  | 
 |             c.traps[Inexact] = True | 
 |             self.assertRaises(Inexact, Decimal("999.9").to_integral_exact, ROUND_UP) | 
 |  | 
 |     def test_c_funcs(self): | 
 |         # Invalid arguments | 
 |         Decimal = C.Decimal | 
 |         InvalidOperation = C.InvalidOperation | 
 |         DivisionByZero = C.DivisionByZero | 
 |         getcontext = C.getcontext | 
 |         localcontext = C.localcontext | 
 |  | 
 |         self.assertEqual(Decimal('9.99e10').to_eng_string(), '99.9E+9') | 
 |  | 
 |         self.assertRaises(TypeError, pow, Decimal(1), 2, "3") | 
 |         self.assertRaises(TypeError, Decimal(9).number_class, "x", "y") | 
 |         self.assertRaises(TypeError, Decimal(9).same_quantum, 3, "x", "y") | 
 |  | 
 |         self.assertRaises( | 
 |             TypeError, | 
 |             Decimal("1.23456789").quantize, Decimal('1e-100000'), [] | 
 |         ) | 
 |         self.assertRaises( | 
 |             TypeError, | 
 |             Decimal("1.23456789").quantize, Decimal('1e-100000'), getcontext() | 
 |         ) | 
 |         self.assertRaises( | 
 |             TypeError, | 
 |             Decimal("1.23456789").quantize, Decimal('1e-100000'), 10 | 
 |         ) | 
 |         self.assertRaises( | 
 |             TypeError, | 
 |             Decimal("1.23456789").quantize, Decimal('1e-100000'), ROUND_UP, 1000 | 
 |         ) | 
 |  | 
 |         with localcontext() as c: | 
 |             c.clear_traps() | 
 |  | 
 |             # Invalid arguments | 
 |             self.assertRaises(TypeError, c.copy_sign, Decimal(1), "x", "y") | 
 |             self.assertRaises(TypeError, c.canonical, 200) | 
 |             self.assertRaises(TypeError, c.is_canonical, 200) | 
 |             self.assertRaises(TypeError, c.divmod, 9, 8, "x", "y") | 
 |             self.assertRaises(TypeError, c.same_quantum, 9, 3, "x", "y") | 
 |  | 
 |             self.assertEqual(str(c.canonical(Decimal(200))), '200') | 
 |             self.assertEqual(c.radix(), 10) | 
 |  | 
 |             c.traps[DivisionByZero] = True | 
 |             self.assertRaises(DivisionByZero, Decimal(9).__divmod__, 0) | 
 |             self.assertRaises(DivisionByZero, c.divmod, 9, 0) | 
 |             self.assertTrue(c.flags[InvalidOperation]) | 
 |  | 
 |             c.clear_flags() | 
 |             c.traps[InvalidOperation] = True | 
 |             self.assertRaises(InvalidOperation, Decimal(9).__divmod__, 0) | 
 |             self.assertRaises(InvalidOperation, c.divmod, 9, 0) | 
 |             self.assertTrue(c.flags[DivisionByZero]) | 
 |  | 
 |             c.traps[InvalidOperation] = True | 
 |             c.prec = 2 | 
 |             self.assertRaises(InvalidOperation, pow, Decimal(1000), 1, 501) | 
 |  | 
 |     def test_va_args_exceptions(self): | 
 |         Decimal = C.Decimal | 
 |         Context = C.Context | 
 |  | 
 |         x = Decimal("10001111111") | 
 |  | 
 |         for attr in ['exp', 'is_normal', 'is_subnormal', 'ln', 'log10', | 
 |                      'logb', 'logical_invert', 'next_minus', 'next_plus', | 
 |                      'normalize', 'number_class', 'sqrt', 'to_eng_string']: | 
 |             func = getattr(x, attr) | 
 |             self.assertRaises(TypeError, func, context="x") | 
 |             self.assertRaises(TypeError, func, "x", context=None) | 
 |  | 
 |         for attr in ['compare', 'compare_signal', 'logical_and', | 
 |                      'logical_or', 'max', 'max_mag', 'min', 'min_mag', | 
 |                      'remainder_near', 'rotate', 'scaleb', 'shift']: | 
 |             func = getattr(x, attr) | 
 |             self.assertRaises(TypeError, func, context="x") | 
 |             self.assertRaises(TypeError, func, "x", context=None) | 
 |  | 
 |         self.assertRaises(TypeError, x.to_integral, rounding=None, context=[]) | 
 |         self.assertRaises(TypeError, x.to_integral, rounding={}, context=[]) | 
 |         self.assertRaises(TypeError, x.to_integral, [], []) | 
 |  | 
 |         self.assertRaises(TypeError, x.to_integral_value, rounding=None, context=[]) | 
 |         self.assertRaises(TypeError, x.to_integral_value, rounding={}, context=[]) | 
 |         self.assertRaises(TypeError, x.to_integral_value, [], []) | 
 |  | 
 |         self.assertRaises(TypeError, x.to_integral_exact, rounding=None, context=[]) | 
 |         self.assertRaises(TypeError, x.to_integral_exact, rounding={}, context=[]) | 
 |         self.assertRaises(TypeError, x.to_integral_exact, [], []) | 
 |  | 
 |         self.assertRaises(TypeError, x.fma, 1, 2, context="x") | 
 |         self.assertRaises(TypeError, x.fma, 1, 2, "x", context=None) | 
 |  | 
 |         self.assertRaises(TypeError, x.quantize, 1, [], context=None) | 
 |         self.assertRaises(TypeError, x.quantize, 1, [], rounding=None) | 
 |         self.assertRaises(TypeError, x.quantize, 1, [], []) | 
 |  | 
 |         c = Context() | 
 |         self.assertRaises(TypeError, c.power, 1, 2, mod="x") | 
 |         self.assertRaises(TypeError, c.power, 1, "x", mod=None) | 
 |         self.assertRaises(TypeError, c.power, "x", 2, mod=None) | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_c_context_templates(self): | 
 |         self.assertEqual( | 
 |             C.BasicContext._traps, | 
 |             C.DecIEEEInvalidOperation|C.DecDivisionByZero|C.DecOverflow| | 
 |             C.DecUnderflow|C.DecClamped | 
 |         ) | 
 |         self.assertEqual( | 
 |             C.DefaultContext._traps, | 
 |             C.DecIEEEInvalidOperation|C.DecDivisionByZero|C.DecOverflow | 
 |         ) | 
 |  | 
 |     @requires_extra_functionality | 
 |     def test_c_signal_dict(self): | 
 |  | 
 |         # SignalDict coverage | 
 |         Context = C.Context | 
 |         DefaultContext = C.DefaultContext | 
 |  | 
 |         InvalidOperation = C.InvalidOperation | 
 |         DivisionByZero = C.DivisionByZero | 
 |         Overflow = C.Overflow | 
 |         Subnormal = C.Subnormal | 
 |         Underflow = C.Underflow | 
 |         Rounded = C.Rounded | 
 |         Inexact = C.Inexact | 
 |         Clamped = C.Clamped | 
 |  | 
 |         DecClamped = C.DecClamped | 
 |         DecInvalidOperation = C.DecInvalidOperation | 
 |         DecIEEEInvalidOperation = C.DecIEEEInvalidOperation | 
 |  | 
 |         def assertIsExclusivelySet(signal, signal_dict): | 
 |             for sig in signal_dict: | 
 |                 if sig == signal: | 
 |                     self.assertTrue(signal_dict[sig]) | 
 |                 else: | 
 |                     self.assertFalse(signal_dict[sig]) | 
 |  | 
 |         c = DefaultContext.copy() | 
 |  | 
 |         # Signal dict methods | 
 |         self.assertTrue(Overflow in c.traps) | 
 |         c.clear_traps() | 
 |         for k in c.traps.keys(): | 
 |             c.traps[k] = True | 
 |         for v in c.traps.values(): | 
 |             self.assertTrue(v) | 
 |         c.clear_traps() | 
 |         for k, v in c.traps.items(): | 
 |             self.assertFalse(v) | 
 |  | 
 |         self.assertFalse(c.flags.get(Overflow)) | 
 |         self.assertIs(c.flags.get("x"), None) | 
 |         self.assertEqual(c.flags.get("x", "y"), "y") | 
 |         self.assertRaises(TypeError, c.flags.get, "x", "y", "z") | 
 |  | 
 |         self.assertEqual(len(c.flags), len(c.traps)) | 
 |         s = sys.getsizeof(c.flags) | 
 |         s = sys.getsizeof(c.traps) | 
 |         s = c.flags.__repr__() | 
 |  | 
 |         # Set flags/traps. | 
 |         c.clear_flags() | 
 |         c._flags = DecClamped | 
 |         self.assertTrue(c.flags[Clamped]) | 
 |  | 
 |         c.clear_traps() | 
 |         c._traps = DecInvalidOperation | 
 |         self.assertTrue(c.traps[InvalidOperation]) | 
 |  | 
 |         # Set flags/traps from dictionary. | 
 |         c.clear_flags() | 
 |         d = c.flags.copy() | 
 |         d[DivisionByZero] = True | 
 |         c.flags = d | 
 |         assertIsExclusivelySet(DivisionByZero, c.flags) | 
 |  | 
 |         c.clear_traps() | 
 |         d = c.traps.copy() | 
 |         d[Underflow] = True | 
 |         c.traps = d | 
 |         assertIsExclusivelySet(Underflow, c.traps) | 
 |  | 
 |         # Random constructors | 
 |         IntSignals = { | 
 |           Clamped: C.DecClamped, | 
 |           Rounded: C.DecRounded, | 
 |           Inexact: C.DecInexact, | 
 |           Subnormal: C.DecSubnormal, | 
 |           Underflow: C.DecUnderflow, | 
 |           Overflow: C.DecOverflow, | 
 |           DivisionByZero: C.DecDivisionByZero, | 
 |           InvalidOperation: C.DecIEEEInvalidOperation | 
 |         } | 
 |         IntCond = [ | 
 |           C.DecDivisionImpossible, C.DecDivisionUndefined, C.DecFpuError, | 
 |           C.DecInvalidContext, C.DecInvalidOperation, C.DecMallocError, | 
 |           C.DecConversionSyntax, | 
 |         ] | 
 |  | 
 |         lim = len(OrderedSignals[C]) | 
 |         for r in range(lim): | 
 |             for t in range(lim): | 
 |                 for round in RoundingModes: | 
 |                     flags = random.sample(OrderedSignals[C], r) | 
 |                     traps = random.sample(OrderedSignals[C], t) | 
 |                     prec = random.randrange(1, 10000) | 
 |                     emin = random.randrange(-10000, 0) | 
 |                     emax = random.randrange(0, 10000) | 
 |                     clamp = random.randrange(0, 2) | 
 |                     caps = random.randrange(0, 2) | 
 |                     cr = random.randrange(0, 2) | 
 |                     c = Context(prec=prec, rounding=round, Emin=emin, Emax=emax, | 
 |                                 capitals=caps, clamp=clamp, flags=list(flags), | 
 |                                 traps=list(traps)) | 
 |  | 
 |                     self.assertEqual(c.prec, prec) | 
 |                     self.assertEqual(c.rounding, round) | 
 |                     self.assertEqual(c.Emin, emin) | 
 |                     self.assertEqual(c.Emax, emax) | 
 |                     self.assertEqual(c.capitals, caps) | 
 |                     self.assertEqual(c.clamp, clamp) | 
 |  | 
 |                     f = 0 | 
 |                     for x in flags: | 
 |                         f |= IntSignals[x] | 
 |                     self.assertEqual(c._flags, f) | 
 |  | 
 |                     f = 0 | 
 |                     for x in traps: | 
 |                         f |= IntSignals[x] | 
 |                     self.assertEqual(c._traps, f) | 
 |  | 
 |         for cond in IntCond: | 
 |             c._flags = cond | 
 |             self.assertTrue(c._flags&DecIEEEInvalidOperation) | 
 |             assertIsExclusivelySet(InvalidOperation, c.flags) | 
 |  | 
 |         for cond in IntCond: | 
 |             c._traps = cond | 
 |             self.assertTrue(c._traps&DecIEEEInvalidOperation) | 
 |             assertIsExclusivelySet(InvalidOperation, c.traps) | 
 |  | 
 |     def test_invalid_override(self): | 
 |         Decimal = C.Decimal | 
 |  | 
 |         try: | 
 |             from locale import CHAR_MAX | 
 |         except ImportError: | 
 |             self.skipTest('locale.CHAR_MAX not available') | 
 |  | 
 |         def make_grouping(lst): | 
 |             return ''.join([chr(x) for x in lst]) | 
 |  | 
 |         def get_fmt(x, override=None, fmt='n'): | 
 |             return Decimal(x).__format__(fmt, override) | 
 |  | 
 |         invalid_grouping = { | 
 |             'decimal_point' : ',', | 
 |             'grouping' : make_grouping([255, 255, 0]), | 
 |             'thousands_sep' : ',' | 
 |         } | 
 |         invalid_dot = { | 
 |             'decimal_point' : 'xxxxx', | 
 |             'grouping' : make_grouping([3, 3, 0]), | 
 |             'thousands_sep' : ',' | 
 |         } | 
 |         invalid_sep = { | 
 |             'decimal_point' : '.', | 
 |             'grouping' : make_grouping([3, 3, 0]), | 
 |             'thousands_sep' : 'yyyyy' | 
 |         } | 
 |  | 
 |         if CHAR_MAX == 127: # negative grouping in override | 
 |             self.assertRaises(ValueError, get_fmt, 12345, | 
 |                               invalid_grouping, 'g') | 
 |  | 
 |         self.assertRaises(ValueError, get_fmt, 12345, invalid_dot, 'g') | 
 |         self.assertRaises(ValueError, get_fmt, 12345, invalid_sep, 'g') | 
 |  | 
 |     def test_exact_conversion(self): | 
 |         Decimal = C.Decimal | 
 |         localcontext = C.localcontext | 
 |         InvalidOperation = C.InvalidOperation | 
 |  | 
 |         with localcontext() as c: | 
 |  | 
 |             c.traps[InvalidOperation] = True | 
 |  | 
 |             # Clamped | 
 |             x = "0e%d" % sys.maxsize | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             x = "0e%d" % (-sys.maxsize-1) | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             # Overflow | 
 |             x = "1e%d" % sys.maxsize | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             # Underflow | 
 |             x = "1e%d" % (-sys.maxsize-1) | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |     def test_from_tuple(self): | 
 |         Decimal = C.Decimal | 
 |         localcontext = C.localcontext | 
 |         InvalidOperation = C.InvalidOperation | 
 |         Overflow = C.Overflow | 
 |         Underflow = C.Underflow | 
 |  | 
 |         with localcontext() as c: | 
 |  | 
 |             c.traps[InvalidOperation] = True | 
 |             c.traps[Overflow] = True | 
 |             c.traps[Underflow] = True | 
 |  | 
 |             # SSIZE_MAX | 
 |             x = (1, (), sys.maxsize) | 
 |             self.assertEqual(str(c.create_decimal(x)), '-0E+999999') | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             x = (1, (0, 1, 2), sys.maxsize) | 
 |             self.assertRaises(Overflow, c.create_decimal, x) | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             # SSIZE_MIN | 
 |             x = (1, (), -sys.maxsize-1) | 
 |             self.assertEqual(str(c.create_decimal(x)), '-0E-1000026') | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             x = (1, (0, 1, 2), -sys.maxsize-1) | 
 |             self.assertRaises(Underflow, c.create_decimal, x) | 
 |             self.assertRaises(InvalidOperation, Decimal, x) | 
 |  | 
 |             # OverflowError | 
 |             x = (1, (), sys.maxsize+1) | 
 |             self.assertRaises(OverflowError, c.create_decimal, x) | 
 |             self.assertRaises(OverflowError, Decimal, x) | 
 |  | 
 |             x = (1, (), -sys.maxsize-2) | 
 |             self.assertRaises(OverflowError, c.create_decimal, x) | 
 |             self.assertRaises(OverflowError, Decimal, x) | 
 |  | 
 |             # Specials | 
 |             x = (1, (), "N") | 
 |             self.assertEqual(str(Decimal(x)), '-sNaN') | 
 |             x = (1, (0,), "N") | 
 |             self.assertEqual(str(Decimal(x)), '-sNaN') | 
 |             x = (1, (0, 1), "N") | 
 |             self.assertEqual(str(Decimal(x)), '-sNaN1') | 
 |  | 
 |     def test_sizeof(self): | 
 |         Decimal = C.Decimal | 
 |         HAVE_CONFIG_64 = (C.MAX_PREC > 425000000) | 
 |  | 
 |         self.assertGreater(Decimal(0).__sizeof__(), 0) | 
 |         if HAVE_CONFIG_64: | 
 |             x = Decimal(10**(19*24)).__sizeof__() | 
 |             y = Decimal(10**(19*25)).__sizeof__() | 
 |             self.assertEqual(y, x+8) | 
 |         else: | 
 |             x = Decimal(10**(9*24)).__sizeof__() | 
 |             y = Decimal(10**(9*25)).__sizeof__() | 
 |             self.assertEqual(y, x+4) | 
 |  | 
 | @requires_docstrings | 
 | @unittest.skipUnless(C, "test requires C version") | 
 | class SignatureTest(unittest.TestCase): | 
 |     """Function signatures""" | 
 |  | 
 |     def test_inspect_module(self): | 
 |         for attr in dir(P): | 
 |             if attr.startswith('_'): | 
 |                 continue | 
 |             p_func = getattr(P, attr) | 
 |             c_func = getattr(C, attr) | 
 |             if (attr == 'Decimal' or attr == 'Context' or | 
 |                 inspect.isfunction(p_func)): | 
 |                 p_sig = inspect.signature(p_func) | 
 |                 c_sig = inspect.signature(c_func) | 
 |  | 
 |                 # parameter names: | 
 |                 c_names = list(c_sig.parameters.keys()) | 
 |                 p_names = [x for x in p_sig.parameters.keys() if not | 
 |                            x.startswith('_')] | 
 |  | 
 |                 self.assertEqual(c_names, p_names, | 
 |                                  msg="parameter name mismatch in %s" % p_func) | 
 |  | 
 |                 c_kind = [x.kind for x in c_sig.parameters.values()] | 
 |                 p_kind = [x[1].kind for x in p_sig.parameters.items() if not | 
 |                           x[0].startswith('_')] | 
 |  | 
 |                 # parameters: | 
 |                 if attr != 'setcontext': | 
 |                     self.assertEqual(c_kind, p_kind, | 
 |                                      msg="parameter kind mismatch in %s" % p_func) | 
 |  | 
 |     def test_inspect_types(self): | 
 |  | 
 |         POS = inspect._ParameterKind.POSITIONAL_ONLY | 
 |         POS_KWD = inspect._ParameterKind.POSITIONAL_OR_KEYWORD | 
 |  | 
 |         # Type heuristic (type annotations would help!): | 
 |         pdict = {C: {'other': C.Decimal(1), | 
 |                      'third': C.Decimal(1), | 
 |                      'x': C.Decimal(1), | 
 |                      'y': C.Decimal(1), | 
 |                      'z': C.Decimal(1), | 
 |                      'a': C.Decimal(1), | 
 |                      'b': C.Decimal(1), | 
 |                      'c': C.Decimal(1), | 
 |                      'exp': C.Decimal(1), | 
 |                      'modulo': C.Decimal(1), | 
 |                      'num': "1", | 
 |                      'f': 1.0, | 
 |                      'rounding': C.ROUND_HALF_UP, | 
 |                      'context': C.getcontext()}, | 
 |                  P: {'other': P.Decimal(1), | 
 |                      'third': P.Decimal(1), | 
 |                      'a': P.Decimal(1), | 
 |                      'b': P.Decimal(1), | 
 |                      'c': P.Decimal(1), | 
 |                      'exp': P.Decimal(1), | 
 |                      'modulo': P.Decimal(1), | 
 |                      'num': "1", | 
 |                      'f': 1.0, | 
 |                      'rounding': P.ROUND_HALF_UP, | 
 |                      'context': P.getcontext()}} | 
 |  | 
 |         def mkargs(module, sig): | 
 |             args = [] | 
 |             kwargs = {} | 
 |             for name, param in sig.parameters.items(): | 
 |                 if name == 'self': continue | 
 |                 if param.kind == POS: | 
 |                     args.append(pdict[module][name]) | 
 |                 elif param.kind == POS_KWD: | 
 |                     kwargs[name] = pdict[module][name] | 
 |                 else: | 
 |                     raise TestFailed("unexpected parameter kind") | 
 |             return args, kwargs | 
 |  | 
 |         def tr(s): | 
 |             """The C Context docstrings use 'x' in order to prevent confusion | 
 |                with the article 'a' in the descriptions.""" | 
 |             if s == 'x': return 'a' | 
 |             if s == 'y': return 'b' | 
 |             if s == 'z': return 'c' | 
 |             return s | 
 |  | 
 |         def doit(ty): | 
 |             p_type = getattr(P, ty) | 
 |             c_type = getattr(C, ty) | 
 |             for attr in dir(p_type): | 
 |                 if attr.startswith('_'): | 
 |                     continue | 
 |                 p_func = getattr(p_type, attr) | 
 |                 c_func = getattr(c_type, attr) | 
 |                 if inspect.isfunction(p_func): | 
 |                     p_sig = inspect.signature(p_func) | 
 |                     c_sig = inspect.signature(c_func) | 
 |  | 
 |                     # parameter names: | 
 |                     p_names = list(p_sig.parameters.keys()) | 
 |                     c_names = [tr(x) for x in c_sig.parameters.keys()] | 
 |  | 
 |                     self.assertEqual(c_names, p_names, | 
 |                                      msg="parameter name mismatch in %s" % p_func) | 
 |  | 
 |                     p_kind = [x.kind for x in p_sig.parameters.values()] | 
 |                     c_kind = [x.kind for x in c_sig.parameters.values()] | 
 |  | 
 |                     # 'self' parameter: | 
 |                     self.assertIs(p_kind[0], POS_KWD) | 
 |                     self.assertIs(c_kind[0], POS) | 
 |  | 
 |                     # remaining parameters: | 
 |                     if ty == 'Decimal': | 
 |                         self.assertEqual(c_kind[1:], p_kind[1:], | 
 |                                          msg="parameter kind mismatch in %s" % p_func) | 
 |                     else: # Context methods are positional only in the C version. | 
 |                         self.assertEqual(len(c_kind), len(p_kind), | 
 |                                          msg="parameter kind mismatch in %s" % p_func) | 
 |  | 
 |                     # Run the function: | 
 |                     args, kwds = mkargs(C, c_sig) | 
 |                     try: | 
 |                         getattr(c_type(9), attr)(*args, **kwds) | 
 |                     except Exception as err: | 
 |                         raise TestFailed("invalid signature for %s: %s %s" % (c_func, args, kwds)) | 
 |  | 
 |                     args, kwds = mkargs(P, p_sig) | 
 |                     try: | 
 |                         getattr(p_type(9), attr)(*args, **kwds) | 
 |                     except Exception as err: | 
 |                         raise TestFailed("invalid signature for %s: %s %s" % (p_func, args, kwds)) | 
 |  | 
 |         doit('Decimal') | 
 |         doit('Context') | 
 |  | 
 |  | 
 | all_tests = [ | 
 |   CExplicitConstructionTest, PyExplicitConstructionTest, | 
 |   CImplicitConstructionTest, PyImplicitConstructionTest, | 
 |   CFormatTest,               PyFormatTest, | 
 |   CArithmeticOperatorsTest,  PyArithmeticOperatorsTest, | 
 |   CThreadingTest,            PyThreadingTest, | 
 |   CUsabilityTest,            PyUsabilityTest, | 
 |   CPythonAPItests,           PyPythonAPItests, | 
 |   CContextAPItests,          PyContextAPItests, | 
 |   CContextWithStatement,     PyContextWithStatement, | 
 |   CContextFlags,             PyContextFlags, | 
 |   CSpecialContexts,          PySpecialContexts, | 
 |   CContextInputValidation,   PyContextInputValidation, | 
 |   CContextSubclassing,       PyContextSubclassing, | 
 |   CCoverage,                 PyCoverage, | 
 |   CFunctionality,            PyFunctionality, | 
 |   CWhitebox,                 PyWhitebox, | 
 |   CIBMTestCases,             PyIBMTestCases, | 
 | ] | 
 |  | 
 | # Delete C tests if _decimal.so is not present. | 
 | if not C: | 
 |     all_tests = all_tests[1::2] | 
 | else: | 
 |     all_tests.insert(0, CheckAttributes) | 
 |     all_tests.insert(1, SignatureTest) | 
 |  | 
 |  | 
 | def test_main(arith=None, verbose=None, todo_tests=None, debug=None): | 
 |     """ Execute the tests. | 
 |  | 
 |     Runs all arithmetic tests if arith is True or if the "decimal" resource | 
 |     is enabled in regrtest.py | 
 |     """ | 
 |  | 
 |     init(C) | 
 |     init(P) | 
 |     global TEST_ALL, DEBUG | 
 |     TEST_ALL = arith if arith is not None else is_resource_enabled('decimal') | 
 |     DEBUG = debug | 
 |  | 
 |     if todo_tests is None: | 
 |         test_classes = all_tests | 
 |     else: | 
 |         test_classes = [CIBMTestCases, PyIBMTestCases] | 
 |  | 
 |     # Dynamically build custom test definition for each file in the test | 
 |     # directory and add the definitions to the DecimalTest class.  This | 
 |     # procedure insures that new files do not get skipped. | 
 |     for filename in os.listdir(directory): | 
 |         if '.decTest' not in filename or filename.startswith("."): | 
 |             continue | 
 |         head, tail = filename.split('.') | 
 |         if todo_tests is not None and head not in todo_tests: | 
 |             continue | 
 |         tester = lambda self, f=filename: self.eval_file(directory + f) | 
 |         setattr(CIBMTestCases, 'test_' + head, tester) | 
 |         setattr(PyIBMTestCases, 'test_' + head, tester) | 
 |         del filename, head, tail, tester | 
 |  | 
 |  | 
 |     try: | 
 |         run_unittest(*test_classes) | 
 |         if todo_tests is None: | 
 |             from doctest import IGNORE_EXCEPTION_DETAIL | 
 |             savedecimal = sys.modules['decimal'] | 
 |             if C: | 
 |                 sys.modules['decimal'] = C | 
 |                 run_doctest(C, verbose, optionflags=IGNORE_EXCEPTION_DETAIL) | 
 |             sys.modules['decimal'] = P | 
 |             run_doctest(P, verbose) | 
 |             sys.modules['decimal'] = savedecimal | 
 |     finally: | 
 |         if C: C.setcontext(ORIGINAL_CONTEXT[C]) | 
 |         P.setcontext(ORIGINAL_CONTEXT[P]) | 
 |         if not C: | 
 |             warnings.warn('C tests skipped: no module named _decimal.', | 
 |                           UserWarning) | 
 |         if not orig_sys_decimal is sys.modules['decimal']: | 
 |             raise TestFailed("Internal error: unbalanced number of changes to " | 
 |                              "sys.modules['decimal'].") | 
 |  | 
 |  | 
 | if __name__ == '__main__': | 
 |     import optparse | 
 |     p = optparse.OptionParser("test_decimal.py [--debug] [{--skip | test1 [test2 [...]]}]") | 
 |     p.add_option('--debug', '-d', action='store_true', help='shows the test number and context before each test') | 
 |     p.add_option('--skip',  '-s', action='store_true', help='skip over 90% of the arithmetic tests') | 
 |     (opt, args) = p.parse_args() | 
 |  | 
 |     if opt.skip: | 
 |         test_main(arith=False, verbose=True) | 
 |     elif args: | 
 |         test_main(arith=True, verbose=True, todo_tests=args, debug=opt.debug) | 
 |     else: | 
 |         test_main(arith=True, verbose=True) |